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On observation x=81. Or 256.
Quartic/ Biquadratic equation after substitution, but you have juggle for roots.
Put a = x^1/4. So, x = a^4. The equation becomes (7 - a)^4 + a^4 = 337 ===> (7 - a)^4 + a^4 = 3^4 + 4^4 ===> a = 3 or 4, hence x = 81 or 256.
256+81=337 x=256 or 81When x=256,lhs =3/(7-4)=1=rhsWhen x=81,lhs =4/(7-3)=4/4=1=rhs
On observation x=81. Or 256.
Quartic/ Biquadratic equation after substitution, but you have juggle for roots.
Put a = x^1/4. So, x = a^4. The equation becomes (7 - a)^4 + a^4 = 337 ===>
(7 - a)^4 + a^4 = 3^4 + 4^4 ===> a = 3 or 4, hence x = 81 or 256.
256+81=337
x=256 or 81
When x=256,lhs =3/(7-4)=1=rhs
When x=81,lhs =4/(7-3)=4/4=1=rhs