What is the answer to (5x+2)/(9x)=x ?

The answer to (5x+2)/(9x)=x is x=(5+sqrt(97))/(18),x=(5-sqrt(97))/(18)

Solve for x: (5x+2)/(9x)=x

The solution is x=(5+sqrt(97))/(18),x=(5-sqrt(97))/(18)

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\frac{5 x + 2}{9 x} = x

x = \frac{5 + 97}{18}, x = \frac{5 - 97}{18}

Decimal Notation

x = 0.82493 \dots, x = - 0.26938 \dots

Solution steps

\frac{5 x + 2}{9 x} = x

Multiply both sides by

x

\frac{5 x + 2}{9} = x^{2}

Solve

\frac{5 x + 2}{9} = x^{2} : x = \frac{5 + 97}{18}, x = \frac{5 - 97}{18}

x = \frac{5 + 97}{18}, x = \frac{5 - 97}{18}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 97}{18}, x = \frac{5 - 97}{18}

\frac{3}{371} = \frac{4}{x}

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

\frac{( - 0.2 x ^{2} + 20 )}{x ^{2}} = 0

\frac{4}{v + 4} = \frac{8}{2 v + 8} - 3

\frac{3 x}{x + 52} = 19.6

What is the answer to (5x+2)/(9x)=x ?
The answer to (5x+2)/(9x)=x is x=(5+sqrt(97))/(18),x=(5-sqrt(97))/(18)
Solve for x: (5x+2)/(9x)=x
The solution is x=(5+sqrt(97))/(18),x=(5-sqrt(97))/(18)