Question 267628
 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(t) = -16t^2 + vt + h0}}} (h in feet, t in seconds)