What is the answer to x+6-1/x =8 ?

The answer to x+6-1/x =8 is x=1+sqrt(2),x=1-sqrt(2)

Solve for x: x+6-1/x =8

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

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x + 6 - \frac{1}{x} = 8

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

x + 6 - \frac{1}{x} = 8

Move

6

to the right side

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

Multiply both sides by

x

x^{2} - 1 = 2 x

Solve

x^{2} - 1 = 2 x : x = 1 + 2, x = 1 - 2

x = 1 + 2, x = 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1 + 2, x = 1 - 2

4 + \frac{8}{x} = x + 6

x - \frac{4}{x + 3} = \frac{3 x}{x + 3}

\frac{7}{7 b + 3} = \frac{2}{b - 3}

\frac{1}{x ^{3} + 1} = 0

- f (a) = \frac{4 x - 1}{7 x + 2}

What is the answer to x+6-1/x =8 ?
The answer to x+6-1/x =8 is x=1+sqrt(2),x=1-sqrt(2)
Solve for x: x+6-1/x =8
The solution is x=1+sqrt(2),x=1-sqrt(2)