SOLUTION: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. (Use x as the variable.) 9 and 1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. (Use x as the variable.) 9 and 1      Log On


   

Question 537287: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. (Use x as the variable.)
9 and 1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x=9 or x=1 Start with the given solutions.


x-9=0 or x-1=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x-9%29%28x-1%29=0 Use the zero product property to combine the equations.


x%5E2-10x%2B9=0 FOIL out the left side.


So the answer is x%5E2-10x%2B9=0


To check your work, simply solve x%5E2-10x%2B9=0 for x. Doing so will show you that the solutions are x=9 or x=1, which confirm the answer.


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

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Jim