Question

Solve the equation 4s2+32s=60 by completing the square

Answer 1

s = -4 ± √31

Explanation:

Given 4
`s^(2)` + 32s = 60

divide by 4 throughout

`s^(2) + 8s = 15\\s^(2) + 8s + ((8)/(2)) ^(2) = 15 + ((8)/(2)) ^(2)`

`(s + 4)^(2) = 31\\s + 4 = √(31)`

s = -4 ± √31