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Maths-

General

Easy

Question

$square root of 4 x end root equals x minus 3$
What are all values of that satisfy the given equation?
I. 1
II. 9

I only
II only
I and II
Neither I nor II

hint Hint:

Hint:

A radical expression also referred to as a $n to the power of t h end exponent$ root, or simply radical, is an expression that involves a root.

The correct answer is: II only

Explanation:

We have given an equation $square root of 4 x end root equals x minus 3$

We have to find the value of x.

We will simply use the basic mathematical operation to solve this.

Step 1 of 1:
We have given an equation $square root of 4 x end root equals x minus 3$
Squaring both sides
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell left parenthesis square root of 4 x end root right parenthesis squared equals left parenthesis x minus 3 right parenthesis squared end cell row cell 4 x equals x squared plus 9 minus 6 x end cell row cell x squared minus 10 x plus 9 equals 0 end cell end table$
Splitting middle term
$x squared minus 10 x plus 9 equals 0$
$x squared minus 9 x minus x plus 9 equals 0$
$x left parenthesis x minus 9 right parenthesis minus 1 left parenthesis x minus 9 right parenthesis equals 0$
$left parenthesis x minus 1 right parenthesis left parenthesis x minus 9 right parenthesis equals 0$
So,
X = 1
X = 9
Now put the given values in the equation
For x =1
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank row blank row blank end table$ $square root of 4 x end root equals x minus 3$
$square root of 4 equals 1 minus 3$
2 = - 2
Which is a contradiction.
Now for x = 9
$square root of 4 x end root equals x minus 3$
$square root of 4 left parenthesis 9 right parenthesis end root equals 9 minus 3$
6 = 6
Which is true.
So,
II is correct
Hence, Option B is correct

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