what is the value of the discriminant for the quadratic equation 0 = x 2 x2?

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-08-26T20:51:24+02:00

0 = x + 2 + x^2
x^2 + x + 2 = 0
a = 1, b = 1, c = 2

discriminant = b^2 - 4ac = 1^2 - (4 x 1 x 2) = 1 - 8 = -7

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OrethaWilkison OrethaWilkison · Answer 2 · 2019-03-22T17:26:01+01:00

Answer:

value of the discriminant for the quadratic equation is, -7

Step-by-step explanation:

A quadratic equation is in the form of : [tex]ax^2+bx+c = 0[/tex] ...[1]

then the discriminant(D) is given by:

[tex]D = b^2-4ac[/tex]

Given the quadratic equation:

[tex]0 = x+2+x^2[/tex]

We can write this as:

[tex]x^2+x+2 = 0[/tex]

On comparing with [1] we have;

a = 1, b =1 and c = 2

then;

[tex]D = 1^2-4(1)(2) = 1-8 = -7[/tex]

Therefore, the value of the discriminant for the quadratic equation is, -7