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

Question

asked Mar 5, 2022 198k views

1 Answer

Vlad Stratulat · Answer 1 · 2022-03-10T21:56:51+0000

Answer:

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.