Describe the number and types of roots for the equation: 5x^2 + 7= -4x

Question

Describe the number and types of roots for the equation: 5x^2 + 7= -4x

a. 2 real, rational roots

b. 2 real, irrational roots

c. 1 real, rational roots

d. 2 imaginary roots

Answer 1

5x^2+4x+7=0

that's in ax^2+bx+c standard form for a quadratic

a=5

b=4

c=7

It

has a "discriminate" b^2-4ac = 16-4(5)(7) = 16-140 = -124, which is negative

when the discriminate is negative, there are two imaginary solutions, 2 imaginary roots

d is correct