Question

To solve 9x^2-12x+4=49 by using the Square Root Property, you would first rewrite the equation was as

Answer 1

Given:

The equation is

$9x^2-12x+4=49$

To find:

The equation after first step to solve the given equation by using square root property.

Solution:

We have,

$9x^2-12x+4=49$

It can be written as

$(3x)^2-2(3x)(2)+(2)^2=49$

$(3x-2)^2=49$            $[\because (a-b)^2=a^2-2ab+b^2]$

Therefore, the equation can be rewritten in first step as $(3x-2)^2=49$.