What is the answer to 1/(x+6)+2/(3-x)=5 ?

The answer to 1/(x+6)+2/(3-x)=5 is x=-(8+sqrt(439))/5 ,x=(sqrt(439)-8)/5

Solve for x: 1/(x+6)+2/(3-x)=5

The solution is x=-(8+sqrt(439))/5 ,x=(sqrt(439)-8)/5

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\frac{1}{x + 6} + \frac{2}{3 - x} = 5

x = - \frac{8 + 439}{5}, x = \frac{439 - 8}{5}

Decimal Notation

x = - 5.79046 \dots, x = 2.59046 \dots

Solution steps

\frac{1}{x + 6} + \frac{2}{3 - x} = 5

Multiply by LCM

- x + 3 + 2 (x + 6) = 5 (x + 6) (- x + 3)

Solve

- x + 3 + 2 (x + 6) = 5 (x + 6) (- x + 3) : x = - \frac{8 + 439}{5}, x = \frac{439 - 8}{5}

x = - \frac{8 + 439}{5}, x = \frac{439 - 8}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 3

Combine undefined points with solutions:

x = - \frac{8 + 439}{5}, x = \frac{439 - 8}{5}

\frac{x ^{2} + 5 x + 6}{x + 3} = 1

\frac{6}{x} = 0

\frac{3}{x} = \frac{3}{5 x} + 4

\frac{( y + 1 ) ^{2}}{( y - 3 ) ^{2}} = 1

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

What is the answer to 1/(x+6)+2/(3-x)=5 ?
The answer to 1/(x+6)+2/(3-x)=5 is x=-(8+sqrt(439))/5 ,x=(sqrt(439)-8)/5
Solve for x: 1/(x+6)+2/(3-x)=5
The solution is x=-(8+sqrt(439))/5 ,x=(sqrt(439)-8)/5