SOLUTION: Give an example of a quadratic equation with exactly one real solution

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Question 325958: Give an example of a quadratic equation with exactly one real solution
Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

That's when the two solutions happen to be the same number.

Suppose the two solutions were both -3, and we had solved it.
Then we'd end up with this:

matrix%281%2C5%2C%0D%0A%0D%0Ax=-3%2C%22%22%2C%22%22%2C%22%22%2Cx=-3%29

Before that we would have had:

matrix%281%2C5%2C%0D%0A%0D%0Ax%2B3=0%2C%22%22%2C%22%22%2C%22%22%2Cx%2B3=0%29

Before that we would have had:

matrix%281%2C3%2C%0D%0A%0D%0A%22%22%2C%28x%2B3%29%28x%2B3%29=0%2C%22%22%29

Before that we would have had

matrix%281%2C3%2C%0D%0A%0D%0A%22%22%2Cx%5E2%2B3x%2B3x%2B9=0%2C%22%22%29

or

matrix%281%2C3%2C%0D%0A%0D%0A%22%22%2Cx%5E2%2B6x%2B9=0%2C%22%22%29

Edwin

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If a quadratic equation has a root , then the polynomial must have a factor of . If it has only one real solution, then it must have two identical solutions and therefore two factors of , which is to say , or expressed in standard form:




John