What is the answer to (13)/x =10-x ?

The answer to (13)/x =10-x is x=5-2sqrt(3),x=5+2sqrt(3)

Solve for x: (13)/x =10-x

The solution is x=5-2sqrt(3),x=5+2sqrt(3)

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\frac{13}{x} = 10 - x

x = 5 - 23, x = 5 + 23

Decimal Notation

x = 1.53589 \dots, x = 8.46410 \dots

Solution steps

\frac{13}{x} = 10 - x

Multiply both sides by

x

13 = 10 x - x^{2}

Solve

13 = 10 x - x^{2} : x = 5 - 23, x = 5 + 23

x = 5 - 23, x = 5 + 23

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5 - 23, x = 5 + 23

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

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

x, z = \frac{y}{x}

\frac{4}{2 x - 1} = 10

\frac{22}{x} = \frac{88}{100}

What is the answer to (13)/x =10-x ?
The answer to (13)/x =10-x is x=5-2sqrt(3),x=5+2sqrt(3)
Solve for x: (13)/x =10-x
The solution is x=5-2sqrt(3),x=5+2sqrt(3)