if x^2+ 1/x^2 =7 then find x- 1/x
adityaaryaas:
Is the answer root5
ya
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Answer:
Step-by-step explanation:
We have
x^2 + 1/x^2 = 7
Subtract 2 from both sides of the equation.
x^2 + 1/x^2 - 2 = 7-2
x^2 + 1/x^2 -2×1 = 5
x^2 + 1/x^2 -2×{(x)×(1/x)} = 5
Remember that
(a^2 + b^2 -2ab) = (a-b)^2.
So, here
(x-1/x)^2 = 5
Taking square root on both sides, we have
x - 1/x = √5
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