Question

Determine whether the values 3 and 4 are solutions to the quadratic equation x2−7x+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

Both are solutions. Factoring x^2 − 7x + 12 = (x − 3)(x − 4), so the roots are x = 3 and x = 4.

Answer: Option #3.