Proofs of Universal Statements: Mathematical Induction · Well Ordering Principle
Lesson 3
Problem. Are there positive integers \(a,b,c,d\) such that \[8a^{4}+4b^{4}+2c^{4}=d^{4}?\]
5 points
Such a quadruple exists.
Such a quadruple doesn't exist.
Proofs of Universal Statements: Mathematical Induction · Well Ordering Principle
Problem. Are there positive integers \(a,b,c,d\) such that \[8a^{4}+4b^{4}+2c^{4}=d^{4}?\]
Such a quadruple exists.
Such a quadruple doesn't exist.