What is the answer to 5/x =x+1 ?

The answer to 5/x =x+1 is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2

Solve for x: 5/x =x+1

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

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\frac{5}{x} = x + 1

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

Decimal Notation

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

Solution steps

\frac{5}{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}

26 - 5 y = 8 (\frac{3}{2 y - 0.1})

7 = 1.25 (1 + (\frac{1000}{x}))

(x) = \frac{x}{x ^{2} + 1}

\frac{3}{- b + 4} = \frac{9}{3}

\frac{7 - x}{7 + x} = e^{1}

What is the answer to 5/x =x+1 ?
The answer to 5/x =x+1 is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2
Solve for x: 5/x =x+1
The solution is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2