Question 165231: solve each of the equations. idicate the LCD.
-1/x-5=x-6/x-5 Found 2 solutions by edjones, themathprof:Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! -1/(x-5)=(x-6)/(x-5) Use parentheses.
-1=x-6 multiply each side by x-5.
x=5
Prof Weissman is correct. There is no answer to this problem.
.
Ed
You can put this solution on YOUR website! -1/x-5=x-6/x-5
LCD=(x-5)
multiply both sides by x-5
What's left after cancelling are just the numerators
-1=x-6
transpose -6 to left side
-1+6=x
5=x
looks good, however you must check the answer
but when you replace x=5 in each denominator
x-5=5-5=0
both denominators become zero.
That's a no no.
You can't divide by zero.
So, we say that there are NO solutions to the equation.
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Thanks
Prof Martin Weissman
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