Question 16
Let $a$, $b$, and $c$ be real numbers.
(1)
Show that if $a^2 + b^2 = c^2$ and $a^3 + b^3 = c^3$, then either $a = 0$ or $b = 0$.
(2)
Show that if $a^3 + b^3 = c^3$ and $a^4 + b^4 = c^4$, then either $a = 0$ or $b = 0$.
(1)
Show that if $a^2 + b^2 = c^2$ and $a^3 + b^3 = c^3$, then either $a = 0$ or $b = 0$.
(2)
Show that if $a^3 + b^3 = c^3$ and $a^4 + b^4 = c^4$, then either $a = 0$ or $b = 0$.