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
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 :
[tex]5x^2-136=44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The solution of the given equation (i) is as follows :
[tex]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.[/tex]
Thus, the solutions to the given equation are x = -6 and x = 6.
Option (C) and (D) are correct options.
