Question

What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0

Answer 1

Quadratic formula, completing the square or graphing; the coefficient of x2 term is 1, but the equation cannot be factored.

Explanation:

Answer 2

complete the square since can't factor
2/2=1
add 1 to both sides
x²+2x+1-6=1
factor perfect square
(x+1)²-6=1
add 6 to both sides
(x+1)²=7
sqrt both sides
x+1=+/-√7
minus 1 both sides
x=-1+/-√7


so x=-1+√7 or x=-1-√7