Question

Use the Discriminant to find the nature of roots of the following relation: y = -2x2 + 9x - 7

DO NOT SOLVE.

Answer 1

two real roots

Explanation:

y = -2x^2 + 9x - 7

This is in the form

ax^2 +bx+c

a = -2 b = 9 c = -7

The discriminant is

b^2 -4ac

(9)^2 - 4(-2) (-7)

81 - 56

25

Since the discriminant is greater than zero, there are two real roots