If x= 3_2√2 ,find xcube_1/x cube
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hey mate here is ur answer...
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Answered by
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Answer:
-140√2
Step-by-step explanation:
x=3-2√2
1/x=1/3-2√2
=(3+2√2)/(3-2√2)(3+2√2)
=(3+2√2)/(9-8)
So 1/x =3+2√2---------------------------------(1)
============================
Now x³-1/x³
= (x-1/x) (x²+1/x²+x*1/x)
=[ (3-2√2)-(3+2√2)] [x²+1/x²+2x*1/x-x*1/x ]
=( 3-2√2-3-2√2 ] [ (x+1/x)²-x*1/x]
=( -4√2 ] [ (3-2√2+3+2√2)² -1]
=(-4√2)[ 6²-1]
=-4*35√²
=-140√2
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