Algebra

Rational Functions

Rational Equations

         

Solve the following for xx:

x14x7=1+14x28.\frac{ x-14 } { x - 7 } = 1 + \frac{ 14 } { x - 28}.

Solve for xx:

5x+3x+8x28x=7x+8x28x. \frac{5}{x } + \frac{ 3x + 8 }{ x^2 - 8 x } = \frac{7 x + 8 }{ x^2- 8 x} .

Solve the following for x:x:

28x24x=1+7x4.\frac{ 28 } { x^2 - 4x } = 1 + \frac{ 7 } { x - 4}.

How many solutions are there for

18x2+18x+18x2+54x+648=19? \frac { 18 }{ x^2 + 18x } + \frac{ 18 }{ x^2 + 54x + 648 } = - \frac{ 1}{ 9 } ?

Solve the following for x:x:

6x6=x81.\frac{ 6 } { x - 6 } = \frac{ x } { 8 } - 1.

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