Prove That There Are No Solutions in Positive Integers to the Equation

question 3

Essay

Prove that there are no solutions in positive integers to the equation x⁴ + y⁴ = 100.

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Definitions:

Inside Information

Insider information refers to material information about a company that has not been made public and that could influence an investor's decision to buy or sell the stock.

Corporate Earnings

The profit a company generates during a specific period after accounting for all expenses, taxes, and costs, which can influence its stock price.

Dividend Announcement

A public statement by a company indicating its intention to distribute earnings to shareholders in the form of dividends.

Reversal Effect

A phenomenon in finance where the performance of stocks or markets reverses direction after a period of significant movement.