Solve 𝑥 squared equals two.
In order to solve this equation, we’ll use the balancing method and our knowledge of inverse operations. The opposite or inverse of squaring is square rooting. So we need to square root both sides. The square root of 𝑥 squared is 𝑥. And on the right-hand side, we have the square root of two. We recall that after square rooting, we have two possible answers. The positive and the negative of the answer of that square root. There are two solutions to the equation 𝑥 squared equals two. They are 𝑥 equals positive root two and 𝑥 equals negative root two.