Respuesta :

For the general quadratic equation ax^2 + bx + c = 0 the discriminant is b^2 - 4ac.

So, for x^2 + x + 2 = 0, a = 1, b = 1, and c = 2, therefore

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

Answer: - 7

Answer:

(B)-7

Step-by-step explanation:

The given quadratic equation is:

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

which can be written as:

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

Now, the value of the discriminant is given as:

[tex]b^2-4ac=(1)^2-4(1)(2)[/tex]

[tex]b^2-4ac=1-8[/tex]

[tex]b^2-4ac=-7[/tex]

Thus, the value of the discriminant is [tex]-7[/tex].

Hence, Option (B) is correct.