Question 170211
Since the solutions are -1/2 and 3/4, this means that 


{{{x=-1/2}}} or {{{x=3/4}}}



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



{{{2x+1=0}}} or {{{4x-3=0}}} Get every term to the left side



{{{(2x+1)(4x-3)=0}}} Use the zero product property to join the two equations.



{{{8x^2-6x+4x-3=0}}} FOIL



{{{8x^2-2x-3=0}}} Combine like terms.




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Answer:



So the quadratic with the solutions -1/2 and 3/4 is {{{y=8x^2-2x-3}}}