What is the answer to 4/(x+3)+2/(x-4)=1 ?

The answer to 4/(x+3)+2/(x-4)=1 is x=(7+sqrt(57))/2 ,x=(7-sqrt(57))/2

Solve for x: 4/(x+3)+2/(x-4)=1

The solution is x=(7+sqrt(57))/2 ,x=(7-sqrt(57))/2

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\frac{4}{x + 3} + \frac{2}{x - 4} = 1

x = \frac{7 + 57}{2}, x = \frac{7 - 57}{2}

Decimal Notation

x = 7.27491 \dots, x = - 0.27491 \dots

Solution steps

\frac{4}{x + 3} + \frac{2}{x - 4} = 1

Multiply by LCM

4 (x - 4) + 2 (x + 3) = (x + 3) (x - 4)

Solve

4 (x - 4) + 2 (x + 3) = (x + 3) (x - 4) : x = \frac{7 + 57}{2}, x = \frac{7 - 57}{2}

x = \frac{7 + 57}{2}, x = \frac{7 - 57}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 4

Combine undefined points with solutions:

x = \frac{7 + 57}{2}, x = \frac{7 - 57}{2}

\frac{x ^{2} + 7 - 25}{2 x + 7 x - 98} x = 5

\frac{x}{x + 1} + 1 = 0

a, \frac{a - b}{a} = c

a, p = \frac{a x}{a + y}

1.3 (1 + \frac{x - 75}{x + 75}) = 1.84

What is the answer to 4/(x+3)+2/(x-4)=1 ?
The answer to 4/(x+3)+2/(x-4)=1 is x=(7+sqrt(57))/2 ,x=(7-sqrt(57))/2
Solve for x: 4/(x+3)+2/(x-4)=1
The solution is x=(7+sqrt(57))/2 ,x=(7-sqrt(57))/2