What is the answer to x^{-1}=sqrt(7)+sqrt(5) ?

The answer to x^{-1}=sqrt(7)+sqrt(5) is x=(sqrt(7)-sqrt(5))/2

Solve for x: x^{-1}=sqrt(7)+sqrt(5)

The solution is x=(sqrt(7)-sqrt(5))/2

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x^{- 1} = 7 + 5

x = \frac{7 - 5}{2}

Decimal Notation

x = 0.20484 \dots

Solution steps

x^{- 1} = 7 + 5

Refine

\frac{1}{x} = 7 + 5

Multiply both sides by

x

1 = 7 x + 5 x

Switch sides

7 x + 5 x = 1

Factor

7 x + 5 x : (7 + 5) x

(7 + 5) x = 1

Divide both sides by

7 + 5

x = \frac{7 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7 - 5}{2}

\frac{3}{4 m} - \frac{1}{8 m} = 5

\frac{1}{x + 2} = \frac{3}{8}

2 x - \frac{128000}{x ^{2}} = 0

\frac{32}{x} = 8

Q, M = \frac{Q + 1}{Q}

What is the answer to x^{-1}=sqrt(7)+sqrt(5) ?
The answer to x^{-1}=sqrt(7)+sqrt(5) is x=(sqrt(7)-sqrt(5))/2
Solve for x: x^{-1}=sqrt(7)+sqrt(5)
The solution is x=(sqrt(7)-sqrt(5))/2