Xto the power of 2 equal 100 how to solve

{-10, +10}

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 100, x must equal 10.

Remember however that before you do anything else you must set the equation equal to 0.

So our first step is to subtract 100 from both sides to get x² - 100 = 0. Next, factor the left side to get (x + 10)(x - 10) = 0.

So either x + 10 = 0 or x - 10 = 0.

Solving for x in each equation, we have x = -10 or x = +10.

So our answer is not just 10, it's -10 or +10.

I have also attached my work in the image provided.

The answer is 1.5 because when you round 1,2,3,4 means you round down and 5,6,7,8 means your round up. In this case, the answer before rounding was 1.45828392297. You take the first digit behind the tenths (4) and round. So your answer would be 1.5