SOLUTION: solve for x: 1\x=(x+1)/6

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Question 458841: solve for x: 1\x=(x+1)/6
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

solve for x:
1%2Fx=%28x%2B1%29%2F6......cross multiply
1%2A6=%28x%2B1%29%2Ax
6=x%5E2%2Bx
x%5E2%2Bx-6=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-6%29+%29%29%2F%282%2A1%29+
x+=+%28-1+%2B-+sqrt%28+1%2B24+%29%29%2F2+
x+=+%28-1+%2B-+sqrt%28+25+%29%29%2F2+
x+=+%28-1+%2B-+5+%29%2F2+
solutions:
x+=+%28-1+%2B5+%29%2F2+
x+=+4%2F2+
x+=+2+
or
x+=+%28-1+-5+%29%2F2+
x+=+-6%2F2+
x+=+-3+

check: x+=+2+

1%2Fx=%28x%2B1%29%2F6
1%2F2=%282%2B1%29%2F6
1%2F2=3%2F6
1%2F2=cross%283%291%2Fcross%286%292
1%2F2=1%2F2


x+=+-3+
1%2F%28-3%29=%28-3%2B1%29%2F6
-1%2F3=-2%2F6
-1%2F3=-cross%282%291%2Fcross%286%293
-1%2F3=-1%2F3