Question

The discriminant of a quadratic equation is 32. What is the nature of the zeros for the equation?

A) 2 real zeros

B) 1 real zero

C) 2 imaginary zeros

D) 3 real zeros

Answer 1

The discriminant of a quadratic equation is positive, indicating that there will be two distinct real zeros for the equation.

Step-by-step explanation:

The nature of the zeros of a quadratic equation can be determined by looking at its discriminant. The discriminant is part of the quadratic formula, which is -b ± √(b² - 4ac) / (2a), where '√' stands for the square root, and 'a', 'b', and 'c' are coefficients of the quadratic equation ax²+bx+c = 0.

When the discriminant is positive, as it is in this case (32), there will be two distinct real zeros.