SOLUTION: write a quadratic function using 5 and 3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: write a quadratic function using 5 and 3      Log On


   



Question 544272: write a quadratic function using 5 and 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x=5 or x=3 Start with the given solutions.


x-5=0 or x-3=0 Get everything to one side so that only 0 remains on the right side (for both equations).


%28x-5%29%28x-3%29=0 Use the zero product property to combine the equations.


x%5E2-8x%2B15=0 FOIL out the left side.


So the answer is x%5E2-8x%2B15=0


To check your work, simply solve x%5E2-8x%2B15=0 for x. Doing so will show you that the solutions are x=5 or x=3, which confirm the answer.