If x/1+1/x = 12 , then x/1-1/x =?
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Answered by
26
x + 1/x = 12
Squaring both sides:
x^2 + 2 + 1/x^2 = 144 => x^2 + 1/x^2 = 142
Squaring both sides of (x - 1/x) => x^2 + 1/x^2 - 2 = 140 = (x - 1/x)^2
Therefore x - 1/x = √140
Squaring both sides:
x^2 + 2 + 1/x^2 = 144 => x^2 + 1/x^2 = 142
Squaring both sides of (x - 1/x) => x^2 + 1/x^2 - 2 = 140 = (x - 1/x)^2
Therefore x - 1/x = √140
Answered by
11
Answer:
Square both the sides:
(X+1/X)^2=144
x2+2+1/X2=144
X2+1/x2=144-142
=142
So, (X-1/X)2=142
X2+2-1/X2=142
X2-1/X2=140
X-1/x=root140
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