Question

If x³+1/x³ =110,then does x+1/x=?​

Answer 1

Answer:

HEY MATE HERE U GO

Step-by-step explanation:

By using an algebraic identity :  

(a + b)³ = a³ + b³ + 3 ab (a + b)  

We have :

(x + 1/x)³ = x³ + 1/x³ + 3 x × 1/x (x + 1/x)  

(x + 1/x)³ = 110 + 3 (x + 1/x)  

(x + 1/x)³ - 3 (x + 1/x) - 110 = 0

Let x + 1/x = a

a³ - 3a =  110

Taking a as a common :  

a(a² - 3) = 110

a(a² - 3) = 5(5² - 3)

On comparing :

a = 5  

Then , x + 1/x = a

x + 1/x = 5

Hence , x + 1/x is  5

X=5

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