Let's do some calculus! (33)
Calculus
Level
5
\[\large {( x+y )}^4 = x-y\]
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 \(a+b+c\).
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by
Tapas Mazumdar