Question

if x^2+1/x^2=51 then find the value of x​

Answer 1

Step-by-step explanation:

If x2+1\x2=51, then what is the value of x?

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Please use parenthesis to help those who answer correctly know the question:)

Anyways, the question is

x²+(1/x²) = 51

We have it as

(x +(1/x))²-2=51

or, (x+(1/x))²=53,

or x+(1/x)= √53

2. (x-(1/x))²+2=51.

or , x-(1/x)= √49= 7 (taking just the positive value)

Adding 1 and 2,we have

2x=√53+ 7

=> x=(√53+ 7)/2. You may take the negative values as well . You will have four different answers jn total.

Hope it helps. And feel free to correct my mistakes if i did any in the comments.