Maths-

General

Easy

Question

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

hint Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒x=6y^2+48

Complete step by step solution:
Here we have the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$
Now, on squaring both the sides, we get $y squared equals open parentheses square root of fraction numerator x minus 48 over denominator 6 end fraction end root close parentheses squared$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow y squared equals fraction numerator x minus 48 over denominator 6 end fraction end cell row cell not stretchy rightwards double arrow 6 y squared equals x minus 48 end cell row cell not stretchy rightwards double arrow x equals 6 y squared plus 48 end cell end table$

Related Questions to study

General
Maths-
Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$
Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$
Maths-General
General
Maths-
Explain how you can tell whether a rational expression is in simplest form?
Explain how you can tell whether a rational expression is in simplest form?
Maths-General
General
Maths-
Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.
Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.
Maths-General
General
Maths-
Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$
Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$
Maths-General
General
Maths-
Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Maths-General
General
Maths-
Explain the similarities between rational numbers and rational expressions ?
Explain the similarities between rational numbers and rational expressions ?
Maths-General
General
Maths-
Simplify the following expression.
$open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction$
Simplify the following expression.
$open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction$
Maths-General
General
Maths-
Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$
Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$
Maths-General
General
General
Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?
Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?
GeneralGeneral
General
Maths-
If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.
If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.
Maths-General
General
Maths-
Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Maths-General
General
Maths-
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Maths-General
General
Maths-
Sketch the graph of y = 2x - 5.
Sketch the graph of y = 2x - 5.
Maths-General
General
Maths-
Simplify each expressions and state the domain : $fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction$
Simplify each expressions and state the domain : $fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction$
Maths-General
General
Maths-
Reduce the following rational expressions to their lowest terms
$fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction$
Reduce the following rational expressions to their lowest terms
$fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction$
Maths-General

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Rewrite the equation to isolate x.

Rearrange the equation and then solve for x.

The correct answer is: ⇒x=6y^2+48

Complete step by step solution:Here we have the equation Now, on squaring both the sides, we get

Related Questions to study

Find the product of the rational expression

Find the product of the rational expression

Explain how you can tell whether a rational expression is in simplest form?

Explain how you can tell whether a rational expression is in simplest form?

Determine whether is sometimes , always or never true . Justify your reasoning.

Determine whether is sometimes , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Find the extraneous solution of

Find the extraneous solution of

Explain the similarities between rational numbers and rational expressions ?

Explain the similarities between rational numbers and rational expressions ?

Simplify the following expression.

Simplify the following expression.

Sketch the graph of

Sketch the graph of

Explain how you can use your graphing calculator to show that the rational expressions andare equivalent under a given domain. What is true about the graphat x = 0and Why?

Explain how you can use your graphing calculator to show that the rational expressions andare equivalent under a given domain. What is true about the graphat x = 0and Why?

If then find the quotient from the following four option, when A is divided by B.

If then find the quotient from the following four option, when A is divided by B.

Find the extraneous solution of

Find the extraneous solution of

Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.

Sketch the graph of y = 2x - 5.

Sketch the graph of y = 2x - 5.

Simplify each expressions and state the domain :

Simplify each expressions and state the domain :

Reduce the following rational expressions to their lowest terms

Reduce the following rational expressions to their lowest terms

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Find the product of the rational expression
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Determine whether is sometimes $fraction numerator 5 x plus 11 over denominator 6 x plus 11 end fraction equals space 5 over 6$ , always or never true . Justify your reasoning.

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Identify the slope and y-intercept of the line: $y equals negative 5 x minus 3 over 4$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Sketch the graph of $y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2$

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

Explain how you can use your graphing calculator to show that the rational expressions $fraction numerator negative 6 x squared plus 21 x over denominator 3 x end fraction$ and
$negative 2 x plus 7$ are equivalent under a given domain. What is true about the graph
at x = 0and Why?

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

If $A equals 2 x cubed plus 5 x squared plus 4 x plus 1 text and end text B equals 2 x squared plus 3 x plus 1$ then find the quotient from the following four option, when A is divided by B.

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

Simplify each expressions and state the domain : $fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction$

Simplify each expressions and state the domain : $fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction$

Reduce the following rational expressions to their lowest terms
$fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction$

Reduce the following rational expressions to their lowest terms
$fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction$