Question

Find the discriminant and describe the solutions for the given quadratic. 2x^2 - 3x + 2 = 0?

a) 1
b) 8
c) -7
d) -23

Answer 1

The discriminant for the quadratic equation 2x^2 - 3x + 2 = 0 is -7, indicating two complex solutions.

Step-by-step explanation:

The discriminant for a quadratic equation of the form ax2 + bx + c = 0 is given by the formula b2 - 4ac. To find the discriminant for the given quadratic 2x2 - 3x + 2 = 0, we substitute a = 2, b = -3, and c = 2 into the formula.

The discriminant is calculated as follows:

(-3)2 - 4(2)(2) = 9 - 16 = -7.

The discriminant being -7, which is less than zero, indicates that there are two complex solutions for the equation, and no real solutions.

Therefore, the answer is c) -7.