Question

if x+1/x=6,find the value of x-1/x​

Answer 1

Answer:

x+1/x=6

by subtract two on both sides

x+1/x-2=6-2

(x+1/x)^2=4

x+1/x=root4

x+1/x=2

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Answer 2

Answer:

Step-by-step explanation:

X+1/x=6

X^2+1=6x

x^2-6x+1=0

X=[-b+-√(b^2-4ac)]/2a

X=[-(-6)+-√(-6^2-4*1*1)]/2*1

X=[6+-(√36-4)]/2

X=[6+-4√2]/2

X=3+2√2 or3-2√2. (1)

Substitute x in x-1/x

3+2√2-1/(3+2√2) =3+2.828-1/(3+2.828)

5.828-1/5.828=(33.965-1)/5.828=5.656