Understanding Meredith's Math Problem

Meredith attempts to solve a math problem involving the equation 2(x + 4)^2 = 242. Her teacher later points out that she missed one solution, x = -15, because she didn't consider both the positive and negative square roots of 121. The video reviews her steps, identifying the error in step two where she failed to account for both roots.

What was the original equation Meredith was trying to solve?

• x plus 4 squared equals 242

• x squared plus 4 equals 242

• 2 times x plus 4 equals 242

• x plus 4 equals 242

What solutions did Meredith's teacher say were correct?

• x equals 7 and x equals 14

• x equals 7 and x equals 0

• x equals 7 and x equals negative 15

• x equals 7 and x equals 15

What was Meredith's first step in solving the equation?

• She added 4 to both sides

• She multiplied both sides by 2

• She subtracted 4 from both sides

• She divided both sides by 2

What mistake did Meredith make in the second step?

• She didn't consider the negative square root

• She added instead of subtracting

• She multiplied instead of dividing

• She forgot to divide by 2

Why is it important to consider both positive and negative roots?

• It makes the equation easier to solve

• It simplifies the equation

• It ensures all possible solutions are found

• It eliminates unnecessary steps