SOLUTION: how do you know if a quadratic equation will have one, two or no solutions? If only given the solution, how do you find a quadratic equation? Is it possible to have different quadr

Question 204681: how do you know if a quadratic equation will have one, two or no solutions? If only given the solution, how do you find a quadratic equation? Is it possible to have different quadratic equations with the same solution?
Answer by stanbon(75887) (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?
Check the determinant: b^2-4ac
--------------------------------
If only given the solution, how do you find a quadratic equation?
If a is a solution, (x-a) is a factor
---------------------------------------------
Is it possible to have different quadratic equations with the same solution?
Ans: Yes; y = (x-2)(x+3) and y = 2(x-2)(x+3) are two different equations
that have the same solutions.
=======================================
Cheers,
Stan H.
RELATED QUESTIONS
How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by jsmallt9,solver91311)

How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by Alan3354)

How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by solver91311)

How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by Fombitz,richard1234)

How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by richwmiller)

This is one main question with several parts. Please help. Thank you, How do you know if (answered by vleith,solver91311,Alan3354)

How do you know if a quadratic equation will have one, two, or no solutions? (answered by richwmiller)

How do you know if a quadratic equation will have one, two, or no solutions? How do you... (answered by stanbon)

There are 3 question. 1.How do you know if a quadratic equation will have one, two,or no (answered by stanbon,vleith)