SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -6,4.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -6,4.      Log On


   

Question 526633: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The solutions are -6,4.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=-6 or x=4 Start with the given solutions.


x%2B6=0 or x-4=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x%2B6%29%28x-4%29=0 Use the zero product property to combine the equations.


x%5E2%2B2x-24=0 FOIL out the left side.


So the answer is x%5E2%2B2x-24=0


To check your work, simply solve x%5E2%2B2x-24=0 for x. Doing so will show you that the solutions are x=-6 or x=4, which confirm the answer.


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim