Question

Examine, whether the quadratic equation x

2 + 5x + 5 = 0 has real roots or not.​

Answer 1

Answer & Step-by-step explanation:

Use the discriminant, which is derived from the quadratic formula.

$b^2-4ac$

If this expression results to less than 0, there are no real roots.

For 2x² + 5x + 5:

a = 2; b = 5; c = 5

$b^2-4ac\\=5^2-4(2)(5)\\=25-22\\=3$

∵ the discriminant is solved to be greater than 0, ∴ there are real roots.

Specifically, there are 2 real roots.

Answer 2

Step-by-step explanation:

the explanation is given above