Question

x+1/x=4 find x³+1/x³​

Answer 1

Answer:

Hence, the value of x^3 + 1/x^3 is 52.

Step-by-step explanation:

Given:-

x + 1/x = 4

To find out:-

Value of x^3 + 1/x^3

Solution:-

We have,

x + 1/x = 4

Cubing on both sides, we get

→ (x + 1/x)^3 = (4)^3

Now, our this equation is in the form of ;

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

Where, we have to put in our equation a = x and b = 1/x , we get

→ x^3 + 1/x^3 + 3(x)(1/x) (x + 1/x) = 64

→ x^3 + 1/x^3 + 3(x + 1/x) = 64

→ x^3 + 1/x^3 - 3(4) = 64

→ x^3 + 1/x^3 - 12 = 64

→ x^3 + 1/x^3 = 64 - 12

→ x^3 + 1/x^3 = 52

Answer:-

Hence, the value of x^3 + 1/x^3 is 52.

Used formulae:-

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

:)

Answer 2

Answer:

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