SOLUTION: write a quadratic equation in the variable x having given numbers as solutions. Type in standard form solution 9, only solution?

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Question 364165: write a quadratic equation in the variable x having given numbers as solutions. Type in standard form solution 9, only solution?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The solution(s) to a quadratic equation is(are) x = 9.
Yes, a quadratic equation may have a "single" solution, but this is known as a "double" solution.
To write the equation whose solution(s) is(are) x = 9, you will start by setting x = 9.
To get such a solution you must have found the factors of the quadratic equation to be:
x-9+=+0 and x-9+=+0 Now if you multiply these factors together, the result will be the generating quadratic equation:
%28x-9%29%28x-9%29+=+x%5E2-18x%2B81
So the equation is:
highlight%28y+=+x%5E2-18x%2B81%29
Here's the graph of this quadratic equation and you can see why there appears to be a "single" solution:
graph%28400%2C400%2C-5%2C20%2C-5%2C100%2Cx%5E2-18x%2B81%29