Question

Determine whether the values 4 and 6 are solutions to the quadratic equation x2−10x+24=0
, and then select the correct answer from the following options.(1 point)

Only x=6 is a solution

Both x=4 and x=6 are solutions

Neither x=4 nor x=6 is a solution.

Only x=4 is a solution

Answer 1

Check each value by substitution.

For x = 4: 4^2 − 10·4 + 24 = 16 − 40 + 24 = 0.
For x = 6: 6^2 − 10·6 + 24 = 36 − 60 + 24 = 0.

Both x = 4 and x = 6 are solutions.