Question

Determine whether the values −1
and 73
are solutions to the quadratic equation 3x2−4x−4=3
.(1 point)
Responses

Neither x=−1
nor x=73
is a solution.
Neither x equals negative 1 nor x equals Start Fraction 7 over 3 End Fraction is a solution.

Only x=73
is a solution.
Only x equals Start Fraction 7 over 3 End Fraction is a solution.

Only x=−1
is a solution.
Only x equals negative 1 is a solution.

Both x=−1
and x=73
are solutions.

Answer 1

Check each value.

For x = −1:
3(−1)^2 − 4(−1) − 4 = 3(1) + 4 − 4 = 3, so x = −1 is a solution.

For x = 73 (literal seventy‑three):
3(73)^2 − 4(73) − 4 = 3(5329) − 292 − 4 = 15691 ≠ 3, so x = 73 is not a solution.

(If the second value was meant to be 7/3, then 7/3 is a solution too, since solving 3x^2 − 4x − 4 = 3 gives x = −1 and x = 7/3.)