Question

Determine the nature of the roots: 4x2 + 13x + 6 = 0

a. no real solutions
b. cannot be determined
C. a unique real solution
two distinct real solutions d. two distinct real solutions

Answer 1

D. is the correct option

Discriminant is greater than zero, so the roots are unequal and real.

Explanation:

We use discriminant to find the nature of the roots

discriminant formula is, b^2 - 4ac

13^2 (-4) × 4 × 6 = 169-96

73 >0

if discriminant greater than 0 that means the roots are real and unequal.