What is the answer to 6x+9=(13)/(5-x) ?

The answer to 6x+9=(13)/(5-x) is x=-(-21+sqrt(1209))/(12),x=(21+sqrt(1209))/(12)

Solve for x: 6x+9=(13)/(5-x)

The solution is x=-(-21+sqrt(1209))/(12),x=(21+sqrt(1209))/(12)

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6 x + 9 = \frac{13}{5 - x}

x = - \frac{- 21 + 1209}{12}, x = \frac{21 + 1209}{12}

Decimal Notation

x = - 1.14755 \dots, x = 4.64755 \dots

Solution steps

6 x + 9 = \frac{13}{5 - x}

Multiply both sides by

5 - x

6 x (5 - x) + 9 (5 - x) = 13

Solve

6 x (5 - x) + 9 (5 - x) = 13 : x = - \frac{- 21 + 1209}{12}, x = \frac{21 + 1209}{12}

x = - \frac{- 21 + 1209}{12}, x = \frac{21 + 1209}{12}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = - \frac{- 21 + 1209}{12}, x = \frac{21 + 1209}{12}

x + \frac{3}{x + 3} = \frac{7}{x + 3}

\frac{1}{x + 4} - \frac{1}{x + 5} = \frac{1}{12}

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

6 x - \frac{4}{x} = 5

\frac{9 x + 10}{3 x - 8} = \frac{12 x - 8}{4 x - 5}

What is the answer to 6x+9=(13)/(5-x) ?
The answer to 6x+9=(13)/(5-x) is x=-(-21+sqrt(1209))/(12),x=(21+sqrt(1209))/(12)
Solve for x: 6x+9=(13)/(5-x)
The solution is x=-(-21+sqrt(1209))/(12),x=(21+sqrt(1209))/(12)