Solve for x 1 x 2 2x 1 6 x
Asked by admin @ in Math viewed by 344 People
1/x-2+2/x-1=6/x where x is not equal to 0,1,2.solve for x
Asked by admin @ in Math viewed by 344 People
1/x-2+2/x-1=6/x where x is not equal to 0,1,2.solve for x
Answered by admin @
Answer:
Step-by-step explanation:
Solution :-
Here we have,
1/(x - 2) + 2/(x - 1) = 6/x
⇒ (x - 2) + 2(x - 2)/(x - 2) (x - 1) = 6/x
⇒ 3x - 5/x² - 3x + 2 = 6/x
⇒ 3x² - 5x = 6x² - 18x + 12
⇒ 3x² - 13x + 12 = 0
By using factorization method, we get
⇒ 3x² - 13x + 12 = 0
⇒ 3x² - 9x - 4x + 12 = 0
⇒ 3x(x - 3) - 4(x - 3) = 0
⇒ (x - 3) (3x - 4) = 0
⇒ x - 3 = 0 or 3x - 4 = 0
⇒ x = 3, 4/3
Here, x = 3, 4/3
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