Question

If x+1/x= 2√5 then what is x^3 + 1 / x^3​

Answer 1

Step-by-step explanation:

Heya !!!

X- 1/X = 5

( X- 1/X)³ = (5)³

X³ - 1/X³ - 3 ( X - 1/X ) = 125

X³ - 1/X³ - 3 ( 5 ) = 125

X³ - 1/X³ - 15 = 125

X³ - 1/X³ = 125 + 15 = 140

★ HOPE IT WILL HELP YOU ★

Answer 2

Step-by-step explanation:

Let p (x) = x + 1/x = 2

>> X + 1 = 2x

>> 2x - x = 1

Or, x = 1.

➠ Let g (x) = x^4 + 1/x^3

➠ scine, x = 1

Therefore ,

g (1) = (1) ^3 + 1/(1)^ 3

➨ 1 + 1/1

➨2/1

➨2

★ So, the answer of your question is 2

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You can also make ite way : --

x + 1/x = 2

Cubing both sides,we get : --

x^3 + 1/x^3 + 3×x×1/x (x + 1/x) = 8

➣ x^3 + 1/x^3 + 3 (x + 1/x) = 8

➣ x^3 + 1/x^3 + 3 × 2 = 8 (since, x + 1/ x = 2)

➣ x^3 + 1/x^3 = 8 - 6

or, x^3 + 1/x^3 = 2.

!!...Hope it's help you...!!