Question

Please solve the question number 5.

Thanks in advance.

Answer 1

Hey friend,
Here is the answer you were looking for:
( x + 1/x )^2 = 3

So, x + 1/x = √3

Now we know the value of x + 1/x
Then, ( x + 1/x )^3 = ( √3 )^3

( x + 1/x)^3 = 3√3

We know that the formula of ( a+b )^3 = a^3 + b^3 + 3ab(a + b)

So,
x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x ) = 3√3

x^3 + 1/x^3 + 3( x + 1/x ) = 3√3 (as x × 1/x cutted down)

As we have calculated the value of ( x + 1/x) = √3

So according to that,
x^3 + 1/x^3 +3×√3 = 3√3

x^3 + 1/x^3 + 3√3 = 3√3

(3√3 will be cut from both side)

So, x^3 + 1/x^3 = 0
So our final answer will be (b) 0

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