Question 552792
I'll do the first one to get you started.


# 1



{{{x=5}}} or {{{x=9}}} Start with the given solutions.



{{{x-5=0}}} or {{{x-9=0}}} Get everything to one side so that only 0 remains on the right side (for both equations).



{{{(x-5)(x-9)=0}}} Use the zero product property to combine the equations.



{{{x^2-14x+45=0}}} FOIL out the left side.



So the answer is {{{x^2-14x+45=0}}}



To check your work, simply solve {{{x^2-14x+45=0}}} for x. Doing so will show you that the solutions are {{{x=5}}} or {{{x=9}}}, which confirm the answer.