Solving Quadratic Equations Using Patterns Practice

Question

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Question
What are the solutions to x2−121=0
? Enter the lesser number first.(1 point)
x=
, x=
Remaining Attempts : 3

Answer 1

To solve the equation \( x^2 - 121 = 0 \), you can first add 121 to both sides of the equation:

\[ x^2 = 121 \]

Next, take the square root of both sides:

\[ x = \pm \sqrt{121} \]

Since \( \sqrt{121} = 11 \), we find:

\[ x = 11 \quad \text{or} \quad x = -11 \]

Since the problem asks for the lesser number first, the final answer is:

\[ x = -11, \quad x = 11 \]