Question

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

Answer 1

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4$s^{2}$ + 32s = 60

divide by 4 throughout

$s^{2} + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2} = 15 + (\frac{8}{2}) ^{2}$

 $(s + 4)^{2} = 31\\s + 4 = \sqrt{31}$

s = -4 ± √31