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
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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Ans 1:
Class : Class 8
Let the initial numbers be x, then 5:3 becomes 5x/3x. then, 5x-10 divided by 3x-10 equals 5x divided by 7x.
so the equation becomes: 7 (5x-10) = 5(3x-10). solve it and you get x=1
Therefore the sum of 5:3 is 8.