SOLUTION: (2x+5)^4+(2x+1)^4=82 [Hint: Put (2x+3)=y]

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Question 1031967: (2x+5)^4+(2x+1)^4=82 [Hint: Put (2x+3)=y]
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 [Hint: Put (2x+3)=y]

Using the hint 2x+3=y, then 2x=y-3.  
Substitute y-3 for 2x:





Multiply that out and collect terms:





Divide through by 2









y=1, y=-1, y=5i, y=-5i

Since 2x+3=y

2x+3=1, 2x+3=-1, 2x+3=5i, 2x+3=-5i

2x=-2, 2x=-4, 2x=-3+5i, 2x=-3-5i

x=-1, x=-2, x=-3/2+5/2i, x=-3/2-5/2i

Edwin
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