SOLUTION: solve the equation and show the check of your solutions:
3x over x-4 minus 6 over x^2-7x+12 equal 2x over x-3
3x/x-4 - 6/x^2-7x+12 = 2x/x-3
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-> SOLUTION: solve the equation and show the check of your solutions:
3x over x-4 minus 6 over x^2-7x+12 equal 2x over x-3
3x/x-4 - 6/x^2-7x+12 = 2x/x-3
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Question 1120354: solve the equation and show the check of your solutions:
3x over x-4 minus 6 over x^2-7x+12 equal 2x over x-3
3x/x-4 - 6/x^2-7x+12 = 2x/x-3 Answer by Boreal(15235) (Show Source):
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3x/x-4 - 6/x^2-7x+12 = 2x/x-3
note that x^2-7x+12 is also (x-4)(x-3)
multiply both sides by x^2-7x+12
this becomes
3x(x-3)-6=2x(x-4)
3x^2-9x-6=2x^2-8x
x^2-x-6=0
(x-3)(x+2)=0
x=3 and -2
x=3 is extraneous, because two terms will have 0 in the denominator.
x=-2 is the solution
Check
-6/-6 minus 6/30=-4/-5
1-0.2=0.8 checks.
