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Question

Solve the following quadratic equation by factorisation:
1/x - 1/x-2 = 3

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Solution

1x - 1x-2 = 3x - 2 - xxx - 2 = 3-2x2-2x = 33x2 - 6x + 2 = 0Now, a = 3; b = -6; c = 2Now, D = b2-4ac = -62 - 432 = 36 - 24 = 12 > 0So, by quadratic formula, x = -b + D2a and x = -b - D2ax = 6 + 126 and x = 6 - 126x = 6 + 236 and x = 6 - 236x = 3 + 33 and x = 3 - 33

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