Question

Find the real solution,
5(s+4)^2-44(s+4)=9

Thanks in advance

Answer 1

if you rewrite this, letting u = s+4, then you have

5u^2 - 44u - 9 = 0
(5u+1)(u-9) = 0
u = -1/5 or 9

Now, since u = s+4, s = u-4, so

s = -21/5 or 5