Question

If x=16 is one of the root of the quadratic equation x square-2(7x+16)=0,find the other root.

Answer 1

x square-2(7x+16)=0
x^2 - 14x - 32 = 0
if = 16 is a root, then (x-16) is a factor

so (x-16)(x + ?) = 0
to get a final product of -32 at the end of the quadratic, we need +2 in the second bracket
(x-16)(x+2) = 0
so the other root is x = -2