Use the Discriminant to find the nature of roots of the following relation: y = -2x2 + 9x - 7 DO NOT SOLVE.

two real roots

Step-by-step 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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x