Question

Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots

Answer 1

Discriminant = -24, no real roots.

Explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

`(-b+√(b^2-4ac) )/(2a)` and
`(-b-√(b^2-4ac) )/(2a)`

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

`√(4-4(1)(7))\\√(4-28) \\√(-24)`

Since the inside of the square root is negative, there are no real roots.