Proofs

A medium difficulty HSC math problem on evenness equivalence for x and x squared with full step-by-step solutions.

A medium difficulty HSC math problem on exponential comparison of three four and five with full step-by-step solutions.

A medium difficulty HSC math problem on extreme arguments of a complex disk with full step-by-step solutions.

A hard difficulty HSC math problem on impossible exponential diophantine equation with full step-by-step solutions.

A medium difficulty HSC math problem on induction for a divisibility pattern modulo ten with full step-by-step solutions.