What is the answer to 1/(x-1)+2x=16x+5 ?

The answer to 1/(x-1)+2x=16x+5 is x=-(-9+sqrt(417))/(28),x=(9+sqrt(417))/(28)

Solve for x: 1/(x-1)+2x=16x+5

The solution is x=-(-9+sqrt(417))/(28),x=(9+sqrt(417))/(28)

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\frac{1}{x - 1} + 2 x = 16 x + 5

x = - \frac{- 9 + 417}{28}, x = \frac{9 + 417}{28}

Decimal Notation

x = - 0.40787 \dots, x = 1.05073 \dots

Solution steps

\frac{1}{x - 1} + 2 x = 16 x + 5

Multiply both sides by

x - 1

1 + 2 x (x - 1) = 16 x (x - 1) + 5 (x - 1)

Solve

1 + 2 x (x - 1) = 16 x (x - 1) + 5 (x - 1) : x = - \frac{- 9 + 417}{28}, x = \frac{9 + 417}{28}

x = - \frac{- 9 + 417}{28}, x = \frac{9 + 417}{28}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{- 9 + 417}{28}, x = \frac{9 + 417}{28}

\frac{63}{x} = \frac{9}{7}

\frac{2}{3 x} - \frac{9}{2} = 6 x

\frac{x}{4} = 1 - \frac{1}{x}

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

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

What is the answer to 1/(x-1)+2x=16x+5 ?
The answer to 1/(x-1)+2x=16x+5 is x=-(-9+sqrt(417))/(28),x=(9+sqrt(417))/(28)
Solve for x: 1/(x-1)+2x=16x+5
The solution is x=-(-9+sqrt(417))/(28),x=(9+sqrt(417))/(28)