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How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?

Solve x2 + 7 = 36

Summary

  1. We'll use the square root method to solve this equation
  2. Get the x2 term by itself on one side of the equals sign
  3. Since the square root of x could be either positive or negative, we need a plus or minus sign in front of √29 to account for both possibilites

Notes

    1. Since we have an x2 term but no x term, the square root method is a good method to use here
    1. We need to get x2 by itself on one side of the equals sign
    2. So we need to subtract 7 from both sides
    1. Taking the square root of both sides will get rid of the square on the x
    2. On the right, we need a ± sign to account for both the positive and negative square roots of x
    1. Plug both √29 and -√29 into the original equation to check your answers