Are there any odd positive numbers that satisfy the equation:
$a^2 - b^3 = 4$ ?
I am certain that there are none but can't prove it. How would you prove that?
Are there any odd positive numbers that satisfy the equation:
$a^2 - b^3 = 4$ ?
I am certain that there are none but can't prove it. How would you prove that?
Start by rewriting it as $a^2-4=b^3$, and do what comes naturally.