Tough polynomial question.???

Question

Find the value of the discriminant, describe the nature of the roots, then solve each quadratic. Use EXACT values.

1. x^2 - 9x +14 = 0

2. 5x^2 - 2x +4 = 0

THANK YOU!!!

Answer 1

1)

delta=b^2-4ac

=81-56

= 25>0 there are two distinct roots

x1=(9-5)/2=2

x2=7

2)

delta=4-80 = - 76  < 0

there are no real roots