Question

Use the discriminant to describe the roots of each equation. Then select the best description.

7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root

Answer 1

imaginary root

Explanation:

7x^2 + 3 = 8x

Subtract 8x from each side

7x^2 -8x+ 3 = 8x-8x

7x^2 -8x+3 =0

This is in the form ax^2 +bx+c

The discriminant is b^2 -4ac

a=7 b=-8 c=3

b^2-4ac = (-8)^2 -4(7)(3) = 64 - 84 = -20

Since this is negative, we have imaginary roots