Question

Find the discriminant and the number of real roots for this equation.
x^2+3x+8=0
Apex

Answer 1

You got it right.

Explanation:

Answer 2

The discriminant is -23 and the equation has no real roots.

Explanation:

Since, the discriminant of the quadratic equation
`ax^2+bx+c=0`

is,

`D=b^2-4ac`

If D > 0, then the equation has two distinct real roots,

if D = 0, then the equation has two equal real roots,

if D < 0 then the equation has no real roots,

Here, the quadratic equation is,

`x^2+3x+8=0`

Discriminant,

`D=3^2-4* 1* 8=9-32 = -23 < 0`

Therefore, the discriminant is -23 and the equation has no real roots.