Question

PLEASE HELP!!!!!!

Which values of x are solutions to the equation below?

Check all that apply.

5x2 - 136 = 44

A. x = - sq root 12

B. x = sq root 12

C. x = -6

D. x = 6

E. x = -8

F. x = 8

Answer 1

x=6

Explanation:

5x^2-136=44

add 136 to both sides

5x^2=180

divide both sides by 5

x^2= 36

take square root of both sides

x=6

Answer 2

Answer: The correct options are

(C) x = -6

(D) x = 6.

Step-by-step explanation: We are given to select the values of x that are the solutions to the following equation :

`5x^2-136=44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

The solution of the given equation (i) is as follows :

`5x^2-136=44\\\\\Rightarrow 5x^2=44+136\\\\\Rightarrow 5x^2=180\\\\\Rightarrow x^2=(180)/(5)\\\\\Rightarrow x^2=36\\\\\Rightarrow x=\pm√(36)~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=6,~-6.`

Thus, the solutions to the given equation are x = -6 and x = 6.

Option (C) and (D) are correct options.