2260.11 – Huge Difference of Squares
Find among the suggested answer below the sum of the squares of all real numbers that satisfy the equation
The real problem is solving for . First, simplify the equation to
At this point you could calculate and take the 256th root to find . But it's easier to use to rewrite the equation:
In other words, . We must now square these two solutions and add:
The solution is a.