What is the answer to (4x-3)/(2x-5)=x ?

The answer to (4x-3)/(2x-5)=x is x=(9+sqrt(57))/4 ,x=(9-sqrt(57))/4

Solve for x: (4x-3)/(2x-5)=x

The solution is x=(9+sqrt(57))/4 ,x=(9-sqrt(57))/4

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\frac{4 x - 3}{2 x - 5} = x

x = \frac{9 + 57}{4}, x = \frac{9 - 57}{4}

Decimal Notation

x = 4.13745 \dots, x = 0.36254 \dots

Solution steps

\frac{4 x - 3}{2 x - 5} = x

Multiply both sides by

2 x - 5

4 x - 3 = x (2 x - 5)

Solve

4 x - 3 = x (2 x - 5) : x = \frac{9 + 57}{4}, x = \frac{9 - 57}{4}

x = \frac{9 + 57}{4}, x = \frac{9 - 57}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{9 + 57}{4}, x = \frac{9 - 57}{4}

- \frac{1}{5} = x^{- 1}

4 = \frac{16}{x + 2}

\frac{x - y}{x} = 1 - \frac{y}{x}

3 = \frac{55}{b}

f^{- 1} (2) = 5, f (5)

What is the answer to (4x-3)/(2x-5)=x ?
The answer to (4x-3)/(2x-5)=x is x=(9+sqrt(57))/4 ,x=(9-sqrt(57))/4
Solve for x: (4x-3)/(2x-5)=x
The solution is x=(9+sqrt(57))/4 ,x=(9-sqrt(57))/4