Question 1018224
the first equation has roots of -16 and 2.
this means that the factors are (x+16) * (x-2).
multiply those factors out to get x^2 + 16x - 2x - 32.
combine like terms to get x^2 + 14x - 32.


the constant term is wrong.
this means the squared term and the linear term are both correct.


the squared term is x^2.
the linear term is 14x.


the second equation has roots of -36 and 2.
this means that the factors are (x+36) * (x-2).
multiply those factors out to get x^2 + 36x - 2x - 72.
combine like terms to get x^2 + 34x - 72.


the linear term is wrong.
this means the squared term and the constant term are both correct.


the squared term is x^2.
the constant term is -72.


put these two facts together and you get:


the correct squared term is x^2.
the correct linear term is 14x.
the correct constant term is -72.


the correct equation is x^2 + 14x - 72.
factor this equation to get (x-4) * (x+18).
the roots of this equation are x = 4 and x = -18.


the graph of the equation looks like this:


{{{graph(400,400,-20,20,-130,20,x^2+14x-72)}}}