How do you find a quadratic equation if you are only given the solution?

Answer 1

as the solution is at two points? Example

the solution is at x=3 and -6

x=3 and x=-6
x-3=0 and x+6=0
(x-3)(x+6)=0 is the equation, then multiply it out...
x^2+3x -18=0

Answer 2

x3=a2ndx=6