Find X+1/X if X raised to power 2+1/X raised to power 2=62

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Solution

x² + 1/x² = 62

add 2 to both sides of the equation

x² + 1/x² + 2 = 62 + 2

x² + 1/x² + 2 × x² × 1/x² = 64

This is in the form a^2+b^2+2ab=(a+b)^2

( x + 1/x )² = 8²

x + 1/x=8

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Find X+1/X if X raised to power 2+1/X raised to power 2=62

x² + 1/x² = 62 add 2 to both sides of the equation x² + 1/x² + 2 = 62 + 2 x² + 1/x² + 2 × x² × 1/x² = 64 This is in the form a^2+b^2+2ab=(a+b)^2 ( x + 1/x )² = 8² x + 1/x=8

x² + 1/x² = 62

add 2 to both sides of the equation

x² + 1/x² + 2 = 62 + 2

x² + 1/x² + 2 × x² × 1/x² = 64

This is in the form a^2+b^2+2ab=(a+b)^2

( x + 1/x )² = 8²

x + 1/x=8