Jika x + 1/x = 5, tentukan nilai x2 + 1/x2

Jika x + 1/x = 5, tentukan nilai x2 + 1/x2

Diberikan :

( x + 1 /x ) = 5

Kita perlu mencari x 2 + 1 / x 2

( x + 1 / x ) 2 = 25

= x 2 + 1 / x 2 + 2 (x)(1/x) = 25

= x 2 + 1/x 2 + 2 = 25

= x 2 + 1 / x 2 = 25 – 2

= x 2 + 1 / x 2 =23

Jadi x 2 + 1 / x 2 = 23

10


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