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

Question

SHAIK AASIF AHAMED · Answer

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= $\pm i 2\sqrt{2}$ , $\pm$ $\sqrt{2}$
So x=1 $\pm i2\sqrt{2}$ ,1 $\pm$ $\pmi2\sqrt{2}$

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

x power4 plus (2minus x)power4 is equal to 34.

XPOWER4 + (2-X)POWER4 = 34

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