SOLUTION: Write a quadratic equation having the given numbers as -6 and -1

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Question 473239: Write a quadratic equation having the given numbers as -6 and -1
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation having the given numbers as -6 and -1
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f(x) = (x+6)(x+1)
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f(x) = x^2+7x+6
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean "having the given solutions as -6 and -1"


Solved by pluggable solver: Find A Quadratic Equation Given The Solutions


x=-6 or x=-1 Start with the given solutions.



x%2B6=0 or x%2B1=0 Get everything to one side so that only 0 remains on the right side (for both equations).



%28x%2B6%29%28x%2B1%29=0 Use the zero product property to combine the equations.



x%5E2%2B7x%2B6=0 FOIL out the left side.



So the answer is x%5E2%2B7x%2B6=0



To check your work, simply solve x%5E2%2B7x%2B6=0 for x. Doing so will show you that the solutions are x=-6 or x=-1, which confirm the answer.




For more help on these types of problems, see this solver