Question

What are the values of a, b, and c in the quadratic equation 0 = 2x2 – 3x – 2?

A. a= 1/2, b = 3, c = 2
B. a= 1/2, b =-3, c =-2
C. a= 1/2, b = 3, c =-2
D. a= 1/2, b =-3, c = 2

Answer 1

The values of a, b and c are.

a = 2, b = -3 and c = -2

None of the options are correct

Explanation:

Given

Quadratic equation: 0 = 2x² - 3x - 2

Required: The value of a, b and c.

The general format of a quadratic equation is

ax² + bx + c = 0

So, we start by re-writing the given quadratic equation to give.

2x² - 3x - 2 = 0.

Then we make comparisons base on the position of each unit element of the quadratic equation

ax² = 2x²

Divide both sides by x²

a = 2

bx = -3x

Divide both sides by x

b = -3

And lastly

c = -2.

Hence, the values of a, b and c are.

a = 2, b = -3 and c = -2

None of the options are correct.