Question

hat is the value of the discriminant for the quadratic equation 0 = x + 2 + x2? Discriminant = b2 – 4ac –9 –7 7 9

Answer 1

(B)-7

Explanation:

The given quadratic equation is:

`0=x+2+x^2`

which can be written as:

`x^2+x+2=0`

Now, the value of the discriminant is given as:

`b^2-4ac=(1)^2-4(1)(2)`

`b^2-4ac=1-8`

`b^2-4ac=-7`

Thus, the value of the discriminant is
`-7`.

Hence, Option (B) is correct.

Answer 2

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