Question

Solve the equation by completing the square

Answer 1

Answer:

s = - 1 ± $\sqrt{7}$

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± $\sqrt{7}$ ( subtract 1 from both sides )

s = - 1 ± $\sqrt{7}$

Thus

s = - 1 - $\sqrt{7}$ , s = - 1 + $\sqrt{7}$