solve this quadratic equation plzz
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Answer:
-1&1/2
Step-by-step explanation:
Given below
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x/x-1 + x-1/x = 4
=> x(x)/x(x-1) + (x-1)^2/x(x-1) = 4
=> x^2/(x^2-x) + (x^2+1-2x)/(x^2-x) = 4
=> (x^2 + x^2 - 2x + 1)/(x^2-x) = 4
=> 2x^2 + 2x + 1 = 4x^2 - 4x
=> 2x^2 - 4x^2 - 2x + 4x + 1 = 0
=> -2x^2 + 2x + 1 = 0
=> 2x^2 - 2x - 1 = 0
using quadratic formula,
=> x = (-b±√b²-4ac)/2a
=> x = (2±√12)/4
=> x = 2+√12/4 , x = 2-√12/4
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