Question

Use the discriminant to determine the nature of the roots of -2x2 - 5x - 2= 0.

Answer 1

the discriminate of the quadratic formula is:

d = b^2 -4ac

if d >0; 2 real roots
if d = 0; 1 real root
if d<0; no real roots

Answer 2

ax^2 + bx + c

in this case; b=-5 ; a=-2; and c = -2

Answer 3

D=25-16=9 --- resulted x_1,_2 = (5 +/- 3)/-4 = -2 and -1/2
D>0 --- 2 real solutions