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

classmate’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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