Question

PLEASE HELP!!!!!!

Answer 1

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 :

$5x^2-136=44\\\\\Rightarrow 5x^2=44+136\\\\\Rightarrow 5x^2=180\\\\\Rightarrow x^2=\dfrac{180}{5}\\\\\Rightarrow x^2=36\\\\\Rightarrow x=\pm\sqrt{36}~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=6,~-6.$

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

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

Answer 2

Answer:

x=6

Step-by-step 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