SOLUTION: Solve for x. 1/x + 1/x+16 = 1/15

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Question 130952: Solve for x.
1/x + 1/x+16 = 1/15
Found 3 solutions by solver91311, checkley71, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx+%2B+1%2Fx%2B16+=+1%2F15

2%2Fx=1%2F15-16

2%2Fx=1%2F15-240%2F15

2%2Fx=-239%2F15

-239x=30

x=-30%2F239

Check:
-239%2F30-239%2F30%2B16=-239%2F15%2B240%2F15=1%2F15 Answer checks.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
1/x+1/x+16=1/15
2/x=1/15-16
2/x=(1-240)/15 now cross multiply
x(-239)=30
-239x=30
x=30/-239
x=-30/239 answer.
proof:
1*-239/30+1*-239/30+16=1/15
-478/30+16=1/15
-239/15+16=1/15
-239/15-1/15=-16
-240/15=-16
-16=-16



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x.
1/x + 1/(x+16) = 1/15
[x+16+x]/[x(x+16)] = 1/15
(2x+16)/(x^2+16x) = 1/15
Cross-multiply to get:
30x+240 = x^2+16x
x^2-14x-240=0
x = [14 +- sqrt(14^2-4*-240]/2
x = [14 +- sqrt(1156)]/2
x = [14 +- 34]/2
x = 24 or x = -10
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Cheers,
Stan H.