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Shubh chawda
from
D g khetan , Mumbai
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
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Ans 1:
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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
Anshuman D
from
MVM, Hyderabad
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:
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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
Anshuman D
from
MVM, Hyderabad
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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