Question

Which statement describes how to solve √(3x+4)=√3x+4?

A.)Square both sides once and then solve the resulting linear equation.
B.) Square both sides once and then solve the resulting quadratic equation.
C.) Square both sides twice and then solve the resulting linear equation.
D.)Square both sides twice and then solve the resulting quadratic equation.

Answer 1

C is the best choice

Answer 2

C.) Square both sides twice and then solve the resulting linear equation.

Explanation:

We are given a equation:

`√(3x+4)=√(3x)+4`

On squaring both sides, we get

`3x+4=3x+16+8√(3x)`

=
`8√(3x)=-12`

again on squaring, we get

`64* 3x=144`

⇒ x=3\4

Hence, solving this equation required Squaring both sides twice and then solving the linear equation

Hence, Correct option is:

C.) Square both sides twice and then solve the resulting linear equation.