Question

Use the table to answer the question:
x | substituted | evaluated | true statement?
-3/4 __ __ __
-1/2 __ __ __
1/2 __ __ __

For the quadratic equation -2x^2 - 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.
Only x = __ is in the solution set.

Answer 1

-3/4
- substituted: -2(-3/4)^2 - 3(-3/4) + 2
- evaluated: 25/8 (= 3.125)
- true statement?: No (not a solution)

-1/2
- substituted: -2(-1/2)^2 - 3(-1/2) + 2
- evaluated: 3
- true statement?: No (not a solution)

1/2
- substituted: -2(1/2)^2 - 3(1/2) + 2
- evaluated: 0
- true statement?: Yes (is a solution)

Only x = 1/2 is in the solution set.