What is the answer to 3/(x-7)+4/(x+2)=1 ?

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

Solve for x: 3/(x-7)+4/(x+2)=1

The solution is x=2(3+sqrt(7)),x=2(3-sqrt(7))

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\frac{3}{x - 7} + \frac{4}{x + 2} = 1

x = 2 (3 + 7), x = 2 (3 - 7)

Decimal Notation

x = 11.29150 \dots, x = 0.70849 \dots

Solution steps

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

Multiply by LCM

3 (x + 2) + 4 (x - 7) = (x - 7) (x + 2)

Solve

3 (x + 2) + 4 (x - 7) = (x - 7) (x + 2) : x = 2 (3 + 7), x = 2 (3 - 7)

x = 2 (3 + 7), x = 2 (3 - 7)

Verify Solutions

Find undefined (singularity) points:

x = 7, x = - 2

Combine undefined points with solutions:

x = 2 (3 + 7), x = 2 (3 - 7)

x + \frac{5}{x - 5} = \frac{x}{x - 5}

(k + \frac{1}{k})^{2} = 16

x^{- a} = \frac{1}{x ^{a}}

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

2 (\frac{( n + 1 ) !}{n !}) = 40

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