Question

If x+1/x=6 then find the value of x-1/x. Someone please help and tell how to solve these type of questions. I will mark you as the brainliest. Please

Answer 1

Answer:

6

Step-by-step explanation:

We know that

x+1/x=6----------1

Squaring both sides in eq 1,we get

(x+1/x)^2=x^2+1/x^2+2*x^2*1/x^2

6^2=x2 + 1/x2 +2

36 = x2+1/x2 +2

36-2 = x2+1/x2

34= x2+1/x2--------------2

By using idenyity:

(x-1/x)^2 =x2 + 1/x2 + 2x * x2 *1/x2

Putting the value of x2+1/x2 gives:

(x-1/x)^2 = 34+2

=36

x-1/x= 6

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