6(X^2+1/(X^2))+5(X+1/X)-50=0

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The art of doing mathematics consists in finding that special case which contains all the germs of generality

6(X^2+1/(X^2))+5(X+1/X)-50=0
=>(¦P­¼X^2) 6(X^2+1)+5(X^2)=50
=>X^12+6+X^10=50
=>X^22=44
=>X^=2
=>X=¥¿­t®Ú¸¹2

6 (X^2+1/(X^2))+5(X+1/X)-50=0
=> (¦P­¼X^2) 6(X^2+1)+5(X^2)=50
=>X^12+6+X^10=50
=>X^22=44
=>X^=2
=>X=¥¿­t®Ú¸¹2 (§Ñ¤Fµn¤J>

6 (X^2+1/(X^2))+5(X+1/X)-50=0
=> (¦P­¼X^2) 6(X^2+1)+5(X^2)=50

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6 (X^2+1/(X^2))+5(X+1/X)-50=0
=> (¦P­¼X^2) 6(X^2+1)+5(X^2)=50

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6(X^2+1/(X^2))+5(X+1/X)-50=0
=>(¦P­¼X^2) 6(X^2+1)+5X(X+1)-50X^2=0
=>39X^2 -5X-6=0
=>(¤Q¦r¥æ­¼) (13X-6)(3X+1)=0
=>13X=6 or 3X=-1
=>X= 6/13 or - 1/3

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6(X^4+1)+5X(X^2+1)-50X^2=0
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6((X^2)+(1/(X^2)))+5(X+(1/X))-50=0

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The art of doing mathematics consists in finding that special case which contains all the germs of generality