\[\large {( x+y )}^4 = x-y\]

Real numbers \(x\) and \(y\) satisfy the equation above.

The maximum value of \(y\) can be expressed in the form of \(\dfrac{a \sqrt[3]{b}}{c}\), where \(a\), \(b\) and \(c\) are positive integers, with \(a\) and \(c\) being coprime integers and \(b\) a prime.

Submit your answer as \(a+b+c\).

×

Problem Loading...

Note Loading...

Set Loading...