Step-by-step explanation:

4.) 2x²+5x-4=0

Discriminant:

a=2 b=5 c=-4

b²-4ac

5²-4(2)(-4)

25+32

57

Nature of the roots:

Two real roots

5.) 9x²-6x+1=0

Discriminant:

a=9 b=-6 c=1

b²-4ac

(-6)²-4(9)(1)

36-36

0

Nature of the roots:

1 Real Roots