Question

find root
$x + 1 \x = 4 + 1 \4$
​

Answer 1

Answer:

EXAMPLE

What is the value of x^4 + 1/x^4 when x + 1/x=2?

What is the value of x^4 + 1/x^4 when x + 1/x=2?

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Amit Anand Jha

Answered 1 year ago

We will proceed by whats given

x + 1/x = 2

On squaring we get

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

i.e. x^2 + 1/x^2 = 2

Now again squaring the obtained equation

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

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

Well thats it ! The answer to the question is 2 .

We used the approach of squaring because notice that the term of 2ab would yeild a constant = 2 , because here a and b are reciprocals and hence cancel each other out i.e. a= x and b=1/x

Thanks and regards .