Question

The quadratic 2x2 + 4x + 5 has what type of roots?

Two Irrational

Two Complex

Two Rational

One Rational Double

Answer 1

b^2 - 4 ac
16- 4(2*5)
16-40=-negative number

Answer 2

which mean there is no real roots, which in terms mean there are two complex roots

Answer 3

D=b^2-4ac


D=(4)^2-4(2)(5)


D=16-40


D=-24


Since the discriminant is negative, this means that there are 2 complex solutions.

Answer 4

A discriminant of 0 indicates what type of roots?

Two Irrational

Two Complex

Two Rational

One Rational Double

Answer 5

When the discriminant is zero, you'll have two identical roots that will be rational.

So the answer is choice D

Answer 6

The graph has no real x-intercepts, so it has no real solutions. Therefore, the discriminant is negative. The only possible negative choice here is -16.

So the answer is A.