SOLUTION: Create a quadratic equation with these two solutions: x=4 and x=6

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Create a quadratic equation with these two solutions: x=4 and x=6      Log On

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Question 560838: Create a quadratic equation with these two solutions:
x=4 and x=6
Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!

x=4 or x=6 Start with the given solutions.


x-4=0 or x-6=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x-4%29%28x-6%29=0 Use the zero product property to combine the equations.


x%5E2-10x%2B24=0 FOIL out the left side.


So the answer is x%5E2-10x%2B24=0


To check your work, simply solve x%5E2-10x%2B24=0 for x. Doing so will show you that the solutions are x=4 or x=6, which confirm the answer.
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