How do you solve x to the power of 2 is greater than 100?

Answer 1

First, set up the equation: x2 > 100

Second, in order to figure out what "x" is, we need to take the square root in order to negate the exponent: (x2)0.5 > (100)0.5

Since all positive numbers have two square roots, we need to be careful. With the positive root, we have no issue, and we can say x > 10.

With the negative root, we need to flip the inequality. So we can also say x < -10.

So, the final answer is that x > 10 OR x < -10.