You can
put this solution on YOUR website!There are 3 question.
1.How do you know if a quadratic equation will have one, two,or no solutions?
b^2-4ac is the discriminant:
if it is negative you have two complex number solutions
If it is zero you have two equal Real number solutions
If it is positive you have two Real number solutions
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2. How do you find a quadratic equation if you are only given the solution?
If solutions are "a" and "b", the equation is y = k(x-a)(x-b)
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3. Is it possible to have different quadratic equations with the same solution?
Yes because the "k" in answer #2 can have different values.
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Cheers,
Stan H.
You can
put this solution on YOUR website!1) Look at the determinant part of the quadratic equation
The determinant is
If that results in a negative == no solutions (complex numbers)
If it is positive, then two roots
If it is 0, the one root two times
2) Lets say the solutions are x=5 and x= 7
Then
will give a quadratic equation with those solutions
More generally, if the roots are a and b
then just multiply it out
3)Sure. One quick way to see that is to just multiply by a constant C
same root, different equation
make sense?
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