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Question

Solve for x:4(x1x)2+8(x+1x)=29, x0.

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Solution

4(x1x)2+8(x+1x)=294(x2+1x22)+8x+8x=294x2+4x28+8x+8x=294(x4+2x32x2+2x+1)x2=29Therefore,x=12,2,94654,65494

Hence, the solution is x=12,2,94654,65494

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