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Question

If x=5+24 find the value of x4+9x3+35x2x+4

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Solution

We have x=5+24
x+5=4i
Squaring,x2+10x+25=16
x2+10x+41=0
Now x4+9x3+35x2x+4
=(x2+10x+41)(x210x+41)160
=0160=0 since x2+10x+41=0

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