Question

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

Answer 1

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

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

The quadratic formula is:

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ and $\frac{-b-\sqrt{b^2-4ac} }{2a}$

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:

$\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}$

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