Q:

can someone please explain this to me I’m so confused and I have a quiz on this tomorrow

Accepted Solution

A:
                               x^2 = 16/100
We must solve for x by taking the square root of both sides.
But imagine x^2 = 9. x = 3 is a solution because 3^2 = 9. But x = -3 is also a solution because (-3)^2 = 9. So we need to add the plus and minus sign to account for all of our solutions.
                     √x^2 = √(16/100)
We square root both sides to remove the exponent 2 on x. Then
                         x = ±√(16/100)
Then we have to use a Property of Radicals which is √(x/y) = √(x) / √(y).
Then the square root of 16 is 4 and the square root of 100 is 10. 4/10 is 2/5 simplified.