Question

find the discriminate of the quadratic equation 2x²+5x+5=0​

Answer 1

Quadratic equation $\sf 2x²+5x+5=0$ comparing it with $\sf ax^{2}+bx+c=0$

Then,

a = 2, b = 5 and c = 5

$\sf$

$\rm \: D=b^2−4ac$

$\rm \: =(5)^2 −4(2)(5)$

$\rm=25−40$

$\rm \: = - 15$

∴ Discriminant of given quadratic equation is -15.