Solving by Clearing Functions | Solving a Rational Function | Eliminating Extraneous Solutions | Word Problems |
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x=1 or x=3
Solve: x + (3/x) = 4
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x=.0268, 3.732
Solve and check for extraneous solutions: x + (1/(x-4)) = 0
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x=3 or x=4
Solve and eliminate extraneous solutions: x + (12/x) = 7
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80 mL
How much pure acid can be added to 50 mL of a 35% acid solution to produce a mixture that is 75% acid?
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x=2 or x=-7
Solve: x + 5 = 14/x
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x=5
Solve and check for extraneous solutions: ((x-3)/x) - (3/(x+1)) + (3/(x^2+x)) = 0
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x=-3.1 or x=0.661 or x=2.439
Solve and eliminate extraneous solutions: x^2 + (5/x) = 8
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56.57 m
What is the perimeter of a rectangle with an area of 200 square meters? Find the least perimeter.
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x=1/2 or x=-1
Solve: 2 - (1/(x+1)) = (1/(x^2+x))
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no solution
Solve and eliminate extraneous solutions: (3/(x+2)) + (6/(x^2 +2x)) = ((3-x)/x)
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x=-1/3
Solve and eliminate extraneous solutions: (3x/(x+5)) + (1/(x-2)) = (7/(x^2+3x-10))
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169.12 mL
How much pure acid can be added to 125 mL of a 60% acid solution to produce a mixture that is 83% acid?
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