Solve it please:--
x-3=1/x find x+1/x
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Answer:
x-3=1/x find
x+1/x
ans:
4-3=1/4;4+1/4
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Step-by-step explanation:
x - 3 = 1 / x
x - ( 1 / x ) = 3
Now,
squaring both sides
[x - ( 1 / x )]² = 9. -----------(1)
we know that,
(a + b)² = (a - b)² + 4ab
here a = x and b = 1 / x
Therefore,
(x + 1/x)² = (x - 1/x)² + 4x/x
(x + 1/x)² = (x - 1/x)² + 4
(x + 1/x)² = 9+4 ----------from (1)
= 13
Taking square root,
x+1/x = √13 or - √13
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