Question

Solve the following quadratic by

completing the square.
y = x² + 4x-2
x = [?] ± √ [ ]
Steps to Remember
1. Set the y-value equal to O.
2. Subtract the constant term from both sides.
3. Add ()² to both sides (to complete the square).
4. Factor (write as a perfect square).
5. Solve for x like normal.

Answer 1

x=(0.45,-4.45)

Explanation:

x²+4x=2

x²+4x+(2)²=2+(2)²

x²+(2)²=2+4

(x+2)²=6

√(x+2)²√6

x+2=√6

x=-2±√6

x=-2±2.45

x=(0.45,-4.45)