Question

Determine whether the values 3 and 4 are solutions to the quadratic equation x^2 - 7x + 12 = 0,
and then select the correct answer from the following options.
Option #1: Only x = 3 is a solution.
Option #2: Only x = 4 is a solution.
Option #3: Both x = 3 and x = 4 are solutions.
Option #4: Neither x = 3 nor x= 4 is a solution.

Answer 1

Check each value:

For x = 3: 3^2 − 7·3 + 12 = 9 − 21 + 12 = 0.
For x = 4: 4^2 − 7·4 + 12 = 16 − 28 + 12 = 0.

Both satisfy the equation, so Option #3.