SOLUTION: How do you create a quadratic equation with only one solution? What does it mean to only have one solution for a quadratic equation? The solution for my quadratic equation i

Question 560249: How do you create a quadratic equation with only one solution? What does it mean to only have one solution for a quadratic equation?
The solution for my quadratic equation is -2. Please determine the quadratic equation and show all of your steps
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If a quadratic equation has solutions, the quadratic expression part of the equation can be written as a product of two binomial factors and a number
and ,
where and are the solutions.
When those solutions are integers, you may be able to solve the equation by factoring.
If the two solutions are the same, you have

That formula represents all the quadratic equations that have only as a solution. There are infinitely many of them, because there are infitely many values that you can choose for .
With , you can write as
simplifies to and is equivalent to
which is probably the expected answer.

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