Question

. If (x - 1/x ) = 5, find the values (x2 +1/ x2) ,. ) (x4 +1/x4 )

Answer 1

Answer:

1. 23  2.527

Step-by-step explanation:

1.formula:

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

(5)^2 = x^2 + 1/x^2 + 2

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

25-2 = x^2 + 1/x^2

23 = x^2 + 1/x^2------ equation 1

2. formula :

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

square equation one :

( x^2 + 1/x^2 )^2 = (23)^2

x^4 + 1/x^4 + 2 = 529

x^4 + 1/x^4 = 529 - 2

x^4 + 1/x^4 = 527

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