What is the answer to x-10= 5/(9(x-6)) ?

The answer to x-10= 5/(9(x-6)) is x=(24+sqrt(41))/3 ,x=(24-sqrt(41))/3

Solve for x: x-10= 5/(9(x-6))

The solution is x=(24+sqrt(41))/3 ,x=(24-sqrt(41))/3

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x - 10 = \frac{5}{9 ( x - 6 )}

x = \frac{24 + 41}{3}, x = \frac{24 - 41}{3}

Decimal Notation

x = 10.13437 \dots, x = 5.86562 \dots

Solution steps

x - 10 = \frac{5}{9 ( x - 6 )}

Multiply both sides by

9 (x - 6)

x \cdot 9 (x - 6) - 90 (x - 6) = 5

Solve

x \cdot 9 (x - 6) - 90 (x - 6) = 5 : x = \frac{24 + 41}{3}, x = \frac{24 - 41}{3}

x = \frac{24 + 41}{3}, x = \frac{24 - 41}{3}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{24 + 41}{3}, x = \frac{24 - 41}{3}

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

0 = - \frac{1}{x ^{2}}

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

\frac{3}{x} = \frac{x}{9}

3 = \frac{4}{x}

What is the answer to x-10= 5/(9(x-6)) ?
The answer to x-10= 5/(9(x-6)) is x=(24+sqrt(41))/3 ,x=(24-sqrt(41))/3
Solve for x: x-10= 5/(9(x-6))
The solution is x=(24+sqrt(41))/3 ,x=(24-sqrt(41))/3