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Subject :IMO    Class : Class 8

If = 4, then = _____ .

A
B
C
D


I think the answer should be 0. Can anyone please explain... the solution cannot help me to understand

Ans 1:

Class : Class 9
x+1/x=4 So,(x+1/x)^2=4^2=16 x^2+2+1/x^2=16 Since (x-1/x)^2=x^2-2+1/x^2, It will be=(x+1/x)^2-4=16-4=12 So, (x-1/x)=√12 Which is equal to √2×2×3 =2√3

Ans 2:

Class : Class 9
x+1/x=4 So,(x+1/x)^2=4^2=16 x^2+2+1/x^2=16 Since (x-1/x)^2=x^2-2+1/x^2, It will be=(x+1/x)^2-4=16-4=12 So, (x-1/x)=√12 Which is equal to √2×2×3 =2√3

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