Question 267628: 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.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! How do you know if a quadratic equation will have one, two, or no solutions?
If the discriminant is zero (0), there's one solution. Otherwise, there's 2.
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How do you find a quadratic equation if you are only given the solution?
If the solutions are x = a and x = b, it's (x-a)*(x-b) = 0. In the case of one solution, it's (x-a)^2 = 0
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Is it possible to have different quadratic equations with the same solution?
Yes, it is. You can draw an infinite number of parabolas thru the same 2 points on the x-axis.
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Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation.
Look at some of the solved problems. There are examples of practical problems that are solved with quadratics.
One example:
The height of an object shot upward at velocity v from the level h0 is given by
 (h in feet, t in seconds)
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