Question

Hey pls answer this question! If (x+1/x)^2=3 find the value of x^3+1/x^3

Answer 1

Answer:

Step-by-step explanation:

x³ + 1 / x³ = 18

x² + 1 / x² = 7

Step-by-step explanation :

x + 1 / x = 3

On cubing both the sides ;

⇒ ( x + 1 / x )³ = ( 3 )³

⇒ x³ + 1 / x³ + 3 ( x + 1 / x ) = 27

⇒ x³ + 1 / x³ + 3 ( 3 ) = 27

⇒ x³ + 1 / x³ + 9 = 27

⇒ x³ + 1 / x³ = 27 - 9

⇒ x³ + 1 / x³ = 18

Hence, x³ + 1 / x³ = 18

Again,

x + 1 / x = 3

On squaring both sides ;

( x + 1 / x )² = ( 3 )²

⇒x² + 1 / x² + 2 = 9

⇒x² + 1 / x² = 9 - 2

⇒x² + 1 / x² = 7

Hence, x² + 1 / x² = 7

Answer 2

Answer:

ur answer is x^2+1/x^2 = 7

Step-by-step explanation:

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