Question

Find the solution(s) of the following equation. x2 = 36/49

Answer 1

Answer:

$x=-\frac{6}{7} , x=\frac{6}{7}$

Step-by-step explanation:

We begin with the equation $x^2=\frac{36}{49}$

In order to get x on the left side, we need to square root both sides. As we are taking the square root of each sides, one of the sides must have a ± added to it in order to make sure that both of the solutions are found.

$\sqrt{x^2} =$ ± $\sqrt{\frac{36}{49} }$

We can then simplify this

$x=$ ± $\frac{\sqrt{36} }{\sqrt{49} }$

And once more

$x=$ ± $\frac{6}{7}$

Which means that our solutions are

$x=-\frac{6}{7} , x=\frac{6}{7}$