x power4 plus (2minus x)power4 is equal to 34. XPOWER4 + (2-X)POWER4 = 34

Hello student,
Please find the answer to your question below
Given x⁴+(2-x)⁴=34
Let AM of x,x-2 i.e x-1=y so
(y+1)⁴+(y-1)⁴=34
Expanding this and after cancellation we get
y⁴+6y²-16=0
let y²=u
So u²+6u-16=0
we getu=-8,2
So y=,
So x=1,1