The only integer solutions are a=1,b=1 and a=0, b=0. Here is why ab=1/2 (a+b) 2ab=a+b 2ab-b = a b(2a-1) = a b = a/(2a-1) This shows that there are infinitely many solutions if we

Hi Prashant, Yes. When the power is expressible as a fraction p/r, then x^(p/r) equals the rth root of x^p. When the power is a non-repeating decimal and cannot be expressed as a fraction, we can

Hi Prashant, Simple harmonic motion involves an ordinary differential equation rather than a partial differential equation. For it to be a partial differential equation, the derivative(s) must be those

After taking Physics, I find it very important to note the units involved. For the 1st problem, since it takes 4 people only 3 hours, multiplying that means the fence can be done in 12 people*hours

Pi times the diameter is the circumference. The circumference is thus 3.14259 x 66 = 207.345 cm So each revolution the cyclist travels 207.345 cm After 250 revolutions , the cyclist has traveled

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