Question

What does it mean when a quadratic equation like x² = 16 has a solution set written as {-4, 4} in set notation? (1 point)
Responses

Neither -4 nor 4 makes the equation true
Neither -4 nor 4 makes the equation true

Only -4 makes the equation true
Only -4 makes the equation true

Both -4 and 4 make the equation true
Both -4 and 4 make the equation true

Only 4 makes the equation true

Answer 1

When a quadratic equation like \( x^2 = 16 \) has a solution set written as \(\{-4, 4\}\), it means that both -4 and 4 are solutions to the equation. In other words, if you substitute either -4 or 4 into the equation, it will make the equation true. Therefore, the correct response is:

**Both -4 and 4 make the equation true.**