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Answer:
x = 4 - √10 / 3 and x = 4 + √10 / 3
Step-by-step explanation:
1/x + 1/x-2 = 3
x-2 +x /x^2 - 2x =3
2x - 2 = 3x^2 - 6x
8x -2 - 3x^2 = 0
-3x^2 + 8x - 2 =0
b^2 - 4ac = 64 - 24
= 40
x = -b + or - √b^2 -4ac / 2a
= - 8 + or - √40 / 2 * -3
= -8 + or - 4√10 / -6
x = -8 + 4√10 / -6 and x = -8 - 4√10 / -6
x = 4 - √10 / 3 and x = 4 + √10 / 3
Hope you got it
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Step-by-step explanation:
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