Solve by completing the square.

s2 + 22s = 27

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

s = 1.17, - 23.17

Step-by-step explanation:

s^2 + 22s = 27

Take the coefficient of s

22

Divide by 2

22/2 = 11

Square it

11^2 = 121

Add this to both sides

s^2 + 22s+121 = 27+121

s^2 + 22s+121 = 148

(s+11) ^2 = 148

Take the square root of each side

sqrt ((s+11) ^2) = ±sqrt (148)

s+11 = ±sqrt (148)

Subtract 11 from each side

s+11-11 = - 11 ±sqrt (148)

s = - 11 ±sqrt (148)

s = - 11 + sqrt (148) = 1.1655

- 11 - sqrt (148) = -23.166

Rounding to the nearest hundredth

s = 1.17, - 23.17