What is the answer to x=(32)/(x-3)+3 ?

The answer to x=(32)/(x-3)+3 is x=3+4sqrt(2),x=3-4sqrt(2)

Solve for x: x=(32)/(x-3)+3

The solution is x=3+4sqrt(2),x=3-4sqrt(2)

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x = \frac{32}{x - 3} + 3

x = 3 + 42, x = 3 - 42

Decimal Notation

x = 8.65685 \dots, x = - 2.65685 \dots

Solution steps

x = \frac{32}{x - 3} + 3

Multiply both sides by

x - 3

x (x - 3) = 32 + 3 (x - 3)

Solve

x (x - 3) = 32 + 3 (x - 3) : x = 3 + 42, x = 3 - 42

x = 3 + 42, x = 3 - 42

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 3 + 42, x = 3 - 42

\frac{x ^{2} + x}{x ^{2} + 4 x - 12} = 0

x \frac{10}{x + 18} = \frac{x + 1}{6}

\frac{1}{3 x + 3} = 23

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

x^{- 1} = \frac{1}{6}

What is the answer to x=(32)/(x-3)+3 ?
The answer to x=(32)/(x-3)+3 is x=3+4sqrt(2),x=3-4sqrt(2)
Solve for x: x=(32)/(x-3)+3
The solution is x=3+4sqrt(2),x=3-4sqrt(2)