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) (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:
and Now if you multiply these factors together, the result will be the generating quadratic equation:
So the equation is:
Here's the graph of this quadratic equation and you can see why there appears to be a "single" solution:
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