How do you solve x^2=121?

1 Answer
Mar 10, 2018

x1 = -11, x2 = 11

Explanation:

Move the constant to the left and change its sign

x^2-121=0

Using a^2 - b^2 = (a - b) (a + b), Factor the expression

(x - 11)(x + 11)=0

When the product of factors equals 0, at least one factor is 0

x-11=0

x+11=0

Solve both equations for x

x=11

x=-11

The final solutions are

x1=-11, x2=11