Question

What is the value of x in the equation 25x^2 = 16?O A ±5/4OB. ±4OC. ±4/5OD. ±16/25

Answer 1

C. ±4/5

Step-by-step explanation:

Given the equation

`25x^2=16`

The first step is to divide both sides by 25 to isolate the variable x.

`\begin{gathered} (25x^2)/(25)=(16)/(25) \\ x^2=(16)/(25) \end{gathered}`

Next, we take the square roots of both sides of the equation.

`\begin{gathered} √(x^2)=\pm\sqrt{(16)/(25)} \\ x=\pm(4)/(5) \end{gathered}`

The correct choice is C.