What is the answer to 3/x+4/(2x)=x-1 ?

The answer to 3/x+4/(2x)=x-1 is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2

Solve for x: 3/x+4/(2x)=x-1

The solution is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2

Popular >

\frac{3}{x} + \frac{4}{2 x} = x - 1

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Decimal Notation

x = 2.79128 \dots, x = - 1.79128 \dots

Solution steps

\frac{3}{x} + \frac{4}{2 x} = x - 1

Simplify

\frac{4}{2 x} : \frac{2}{x}

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

Multiply both sides by

x

5 = x^{2} - x

Solve

5 = x^{2} - x : x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 21}{2}, x = \frac{1 - 21}{2}

x - 1 = \frac{x ^{2} - 4 x + 3}{x + 2}

\frac{x ^{2} - 10}{x - 1} = \frac{- 14 - 5 x}{x - 1}

\frac{1}{x ^{2} - 2 x - 7} = 1

1 + \frac{x ^{2} - 5 x - 24}{3 x} = \frac{x - 6}{3 x}

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

What is the answer to 3/x+4/(2x)=x-1 ?
The answer to 3/x+4/(2x)=x-1 is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2
Solve for x: 3/x+4/(2x)=x-1
The solution is x=(1+sqrt(21))/2 ,x=(1-sqrt(21))/2