Question

Create your own quadratic equation and demonstrate how it would be solved by graphing, factoring, the quadratic formula, and by completing the square.

Answer 1

x^2+4x-1=0
x^2+2.2x+4-5=0
(x+2)^2-5=0
plot y=(x+2)^2-5 parabola in graph paper and find the x for which y=0;
(x+2)^2=5
x+2=+-sqrt(5)
x=-2+-sqrt(5);

by quadratic formula\[x=\frac{-4 \pm \sqrt{16+4}}{2}=-2 \pm \sqrt5\]

Answer 2

x^2-6x+9 = 0

(x-3)^2 = 0 ----> x = 3

x^2-6x = -9 ----> (x-3)^2 - 9 = -9 ---> (x+3)^2 = 0

(6+-sqrt(6^2-4*9))/2 = 6/2 = 3