Advanced Maths collection
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Factors of a Number.pdf
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Factor ( Number System )

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Number System Playlist For all competitive examinations

BY - Shubham Kumar (selected in SSC CGL 2018)

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MATH SHORT CUTS & BASIC FORMULAS .pdf
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Advanced Maths collection
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a³+a-1=0
a³=1-a
a⁶=1-2a+a²

a³+a=1
a⁶+2a⁴+a²=1
1-a²-2a⁴=1-2a+a²
a⁴=a-a²

a⁶+a⁴+a-2=1-2a+a²+a-a²+a-2=1-2=-1
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(P-x)(P-y)=1; x=4+y

(P-4-y)(P-y)=(P-y)²-4(P-y)=1
(P-y)-1/(P-y)=4
(P-y)²-2+1/(P-y)²=16

(P-y)³-1/(P-y)³=
(P-y-1/(P-y))((P-y)²+1+(P-y)²)=
4•(16+2+1)=4•19=76
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Number System Playlist For all competitive examinations

BY - Shubham Kumar (selected in SSC CGL 2018)

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(a-7)²+(b-3)²+(c-8)²=0

x² ≧0 =>

a-7=0; a=7
b-3=0; b=3
c-8=0; c=8

√2(a+b+c)=√2*(7+3+8)=√36=6
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