Question

Determine whether the values - 1 and 7/3 are solutions to the quadratic equation
3x^2 - 4х - 4 = 3. (1 point)
• Only x = 7/8 is a solution.
• Only x = - 1 is a solution.
• Both x = —1 and x =7/3 are solutions.
• Neither x = - 1 nor x = 7/3 is a solution.

Answer 1

Both are solutions.

Check x = -1: 3(-1)^2 - 4(-1) - 4 = 3 + 4 - 4 = 3, so equation holds.

Check x = 7/3: 3(7/3)^2 - 4(7/3) - 4 = 3*(49/9) - 28/3 - 4 = 49/3 - 28/3 - 4 = 7 - 4 = 3, so equation holds.