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`.