Question

Asking for the “x” in simplest form please help!!

Answer 1

x = -0.441 and x = -2.359

Explanation:

The given equation is :

`2(5x+7)^2-13=33`

Adding 13 to both sides of the equation.

`2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23`

So,

`5x+7=√(23)\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359`

So, the solution of the given equation is x = -0.441 and x = -2.359.