Posted by **Anonymous** on Monday, March 18, 2013 at 7:31pm.

a and b are positive numbers that satisfy the equation \frac {1}{a} - \frac {1}{b} = \frac {1}{a+b} . Determine the value of \frac {a^6}{b^6} + \frac {b^6} {a^6} .

- Algebra -
**john cyril**, Sunday, March 24, 2013 at 6:02am
18

## Answer this Question

## Related Questions

- Algebra - If a, b and c are non-zero reals such that a + b + c = 11 and \frac {1...
- Algebra - If a, b and c are non-zero reals such that a + b + c = 11 and \frac {1...
- Algebra - How many ordered pairs of solutions (a, b) are there to \frac{a}{b...
- Calculus - a and b are integers that satisfy: \displaystyle \lim_{x \to 1} \frac...
- math - How many pairs of integers $(b,c)$ satisfy the equation \[\frac{b + 7}{b...
- Calculus - Given f(x) = \frac{x^3-2x+5}{x+4} and f’(3) = \frac{a}{b}, where a ...
- Calulus - Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \...
- Trigonometry - Given \tan \theta = -\frac{4}{3}, where \frac{\pi}{2} < \theta...
- Quantum Physics - Let |\psi\rangle=\frac{1-i}{2}|0\rangle-\frac{1+i}{2}|1\rangle...
- Geometry - What is the minimum distance between any point on the circle x^2 + y^...

More Related Questions