What is the answer to 5/x-2=10-x ?

The answer to 5/x-2=10-x is x=6-sqrt(31),x=6+sqrt(31)

Solve for x: 5/x-2=10-x

The solution is x=6-sqrt(31),x=6+sqrt(31)

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\frac{5}{x} - 2 = 10 - x

x = 6 - 31, x = 6 + 31

Decimal Notation

x = 0.43223 \dots, x = 11.56776 \dots

Solution steps

\frac{5}{x} - 2 = 10 - x

Move

2

to the right side

\frac{5}{x} = - x + 12

Multiply both sides by

x

5 = - x^{2} + 12 x

Solve

5 = - x^{2} + 12 x : x = 6 - 31, x = 6 + 31

x = 6 - 31, x = 6 + 31

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6 - 31, x = 6 + 31

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

x^{- 2} + 7 x^{- 1} - 18 = 0

\frac{100}{x} = 60

\frac{100}{x} = 80

t, g = \frac{2 h}{t ^{2}}

What is the answer to 5/x-2=10-x ?
The answer to 5/x-2=10-x is x=6-sqrt(31),x=6+sqrt(31)
Solve for x: 5/x-2=10-x
The solution is x=6-sqrt(31),x=6+sqrt(31)