SOLUTION: 8x + 2 = -4x2 Will the graph of the equation above intersect the x-axis in zero, one, or two points? (Use the quadratic formula to help you answer this question.) A)

Click here to see ALL problems on Quadratic Equations

Question 586814: 8x + 2 = -4x2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)

A) one
B)two
C)There is not enough information.
D) zero

2.2x2 + 4x = -2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)

A) zero
C) There is not enough information.
C) one
D) two

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

For any quadratic polynomial equation of the form:

Find the Discriminant, and evaluate the nature of the roots as follows:

No calculation quick look: If the signs on and are opposite, then guaranteed.

Two real and unequal roots. If is a perfect square, the quadratic factors over (the rationals).

One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. Presuming rational coefficients, the root will be rational as well.

A conjugate pair of complex roots of the form where is the imaginary number defined by

A real root occurs where the graph of the funcition intersects the axis. In both cases you will have to put the quadratic into standard form, i.e. , before you calculated the discriminant.

John

My calculator said it, I believe it, that settles it