Posted by **Nadia** on Tuesday, October 7, 2008 at 1:33am.

How do you know if a quadratic equation will have one, two, or

no solutions? How do you find a quadratic equation if you are only given the solution? Is it

possible to have different quadratic equations with the same solution? Explain. Provide your

classmateâ€™s with one or two solutions with which they must create a quadratic equation.

- algebra II -
**bobpursley**, Tuesday, October 7, 2008 at 2:22am
So what is your thinking? We will be happy to critique your thinking.

- algebra II -
**Anonymous**, Tuesday, April 14, 2009 at 7:11pm
Usually a quadratic equation will be squared but it depends on the power of x.

b^2 - 4ac (the discrimant) determines number of solutions.

if > 0, 2 solutions

if = 0, 1 solution (a double solution)

if < 0, 0 (real) solutions (but 2 imaginary)

Given solutions x = 2, x = -4; equation is:

(x-2)(x+4) = 0 or x^2 + 2x - 8 = 0

Different equations only in the sense they are a multiple of the original one. x^2 + 3x + 5 = 0 and

2x^2 + 6x + 10 = 0 are multiples of each onther and have the same solutions.

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