Question

Solve: x2 - 20x + 36 = 0

Answer 1

Do you know how to find the roots of the quadratic, that is, the solutions?

Answer 2

x^2-20x+36


x^2-18x-2x+36 ... Note: -18 and -2 multiply to 36 and add to -20


(x^2-18x)+(-2x+36)


x(x-18)+(-2x+36)


x(x-18)-2(x-18)


(x-2)(x-18)



So x^2-20x+36 completely factors to (x-2)(x-18)

Answer 3

If the roots are a and b, then this quadratic factorizes as
\[ (x-a)(x-b) \]