47.6k views
4 votes
Solve the quadratic equation by extracting the square root: x² = 121.

User Licorna
by
7.5k points

1 Answer

3 votes

Final answer:

To solve the equation x² = 121, take the square root of both sides to find two solutions: x = 11 and x = -11, since both positive and negative numbers when squared will yield 121.

Step-by-step explanation:

To solve the quadratic equation by extracting the square root, we start with the equation x² = 121. Since 121 is a perfect square, we can take the square root of both sides to find that x can be either the positive or negative square root of 121. Therefore:

  • √x² = √121
  • x = ±√121
  • x = ±11

The solutions are x = 11 or x = -11. Remember that squaring a positive or negative number gives a positive result, so both positive and negative square roots could be solutions to the original equation.

User Izhaki
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.