What is the answer to 3/(4x-5)=x ?

The answer to 3/(4x-5)=x is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8

Solve for x: 3/(4x-5)=x

The solution is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8

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

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

Decimal Notation

x = 1.69300 \dots, x = - 0.44300 \dots

Solution steps

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

Multiply both sides by

4 x - 5

3 = x (4 x - 5)

Solve

3 = x (4 x - 5) : x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{4}

Combine undefined points with solutions:

x = \frac{5 + 73}{8}, x = \frac{5 - 73}{8}

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

2 = \frac{2}{3} - \frac{7}{y}

y - \frac{1}{y} = \frac{3 y}{4}

a c = \frac{d}{r}

\frac{x + 8}{x - 2} = \frac{3}{x}

What is the answer to 3/(4x-5)=x ?
The answer to 3/(4x-5)=x is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8
Solve for x: 3/(4x-5)=x
The solution is x=(5+sqrt(73))/8 ,x=(5-sqrt(73))/8