What is the solution to x^2 = 121?

Answer: {11, - 11}

Step-by-step-explanation: To solve for x in this equation, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

It's important to remember however that when taking the square root of both sides of an equation, we always use plus or minus.

In other words in this problem, since x² = 121,

x = + or - 11.

A common mistake is to say that x is just equal to 11. But notice that if you plug a - 11 back into the original equation, it also checks.

So our answer to this problem is {11, - 11}.