Maths-

General

Easy

Question

Explain how to identify an extraneous solution for an equation containing a radical expression

hint Hint:

Write the reason.

The correct answer is: extraneous.

Complete step by step solution:
First find the solution, then substitute the solutions in the original equation and if the
answer results in an illogical equation then the answer is extraneous.

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Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$
Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$
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Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$
Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$
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Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$
Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$
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Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$
Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$
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Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$
A rational expression is a fractional form containing polynomials on the denominator and the numerator.
Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$
Maths-General
A rational expression is a fractional form containing polynomials on the denominator and the numerator.
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When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?
When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?
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Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$
Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$
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Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.
Rewrite the equation $y equals square root of fraction numerator x minus 48 over denominator 6 end fraction end root$ to isolate x.
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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
$fraction numerator 8 x minus 3 plus 3 x squared over denominator 2 x squared minus x minus 6 end fraction cross times fraction numerator x squared minus 4 over denominator x plus 3 end fraction$
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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?
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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.
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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: $y equals negative 5 x minus 3 over 4$
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Find the extraneous solution of $square root of 8 x plus 9 end root equals x$

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

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Explain the similarities between rational numbers and rational expressions ?
Explain the similarities between rational numbers and rational expressions ?
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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

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Can’t find what you’re looking for?

Explain how to identify an extraneous solution for an equation containing a radical expression

Write the reason.

The correct answer is: extraneous.

Complete step by step solution:First find the solution, then substitute the solutions in the original equation and if theanswer results in an illogical equation then the answer is extraneous.

Related Questions to study

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Solve the equation

Simplify each expressions and state the domain :

Simplify each expressions and state the domain :

Express the rational expression in its lowest terms .

Express the rational expression in its lowest terms .

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line:

Identify the slope and y-intercept of the line:

Rewrite the equation to isolate x.

Rewrite the equation to isolate x.

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.

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Complete step by step solution:
First find the solution, then substitute the solutions in the original equation and if the
answer results in an illogical equation then the answer is extraneous.

Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

Solve the equation $square root of x plus 2 end root plus square root of 3 x plus 4 end root equals 2$

Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$

Solve the equation $square root of 2 x minus 5 end root minus square root of x minus 3 end root equals 1$

Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Solve the equation $left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Simplify each expressions and state the domain : $fraction numerator x cubed plus 4 x squared minus x minus 4 over denominator x squared plus 3 x minus 4 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

Express the rational expression in its lowest terms .
$fraction numerator x squared minus 2 x minus 3 over denominator 2 x squared minus 3 x minus 5 end fraction$

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

When Multiplying $15 over x cross times x over 3 equals 5$ , is it necessary to make the restriction x ≠ 0 ? Why or Why not ?

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

Identify the slope and y-intercept of the line: $y equals 1 fourth x plus 5$

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

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 $square root of 8 x plus 9 end root equals x$