Question

Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

Answer 1

The first thing would be to start with an equation that is already factored:
(x + 3) * (x - 2)
Then we multiply it:
x^2 +x -6 = 0
a = 1 b = 1 c = -6
We can solve that with the quadratic formula:
x = [-b +- sq root (b^2 - 4*a*c)] / 2*a
x = [-1 +- sq root (1 - 4 *1*-6)] / 2
x = [-1 +- sq root (25)] / 2
x = (-1 +5) / 2
x1 = 2

x2 = (-1 -5) / 2
x2 = -3