SOLUTION: Write a quadratic equation having each of the following solutions -1/2 and 3/4

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic equation having each of the following solutions -1/2 and 3/4      Log On


   

Question 170211: Write a quadratic equation having each of the following solutions
-1/2 and 3/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the solutions are -1/2 and 3/4, this means that

x=-1%2F2 or x=3%2F4


2x=-1 or 4x=3 Multiply both sides of the first equation by 2. Multiply both sides of the first equation by 4.


2x%2B1=0 or 4x-3=0 Get every term to the left side


%282x%2B1%29%284x-3%29=0 Use the zero product property to join the two equations.


8x%5E2-6x%2B4x-3=0 FOIL


8x%5E2-2x-3=0 Combine like terms.



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Answer:


So the quadratic with the solutions -1/2 and 3/4 is y=8x%5E2-2x-3