x-99-y-99-x-100-Interger-solutions-

Question Number 175639 by Linton last updated on 04/Sep/22

x^{99} + y^{99} = x^{100}

I n t e r g e r s o l u t i o n s ?

Answered by BaliramKumar last updated on 04/Sep/22

x^{99} [1 + {(\frac{y}{x})}^{99}] = x^{100}

1 + {(\frac{y}{x})}^{99} = x

{(\frac{y}{x})}^{99} = x - 1

\frac{y}{x} = \sqrt[99]{x - 1}

y = x (\sqrt[99]{x - 1})

(0, 0) & (1, 0)