Question

For the quadratic equation −2x2−3x+2=0
, complete the table by testing each of the given values to determine whether it is a solution. Identify which one of the values is in the solution set. Enter your answer as a fraction.

(1 point)
Only x=

is in the solution set.

Answer 1

Solve −2x^2 − 3x + 2 = 0. Multiply by −1: 2x^2 + 3x − 2 = 0, which factors as (2x − 1)(x + 2) = 0. So x = 1/2 or x = −2.

Therefore the value in the solution set (as a fraction) is 1/2.