solve this..............
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Let's unbox this question :-)
→ 3/(x - 1) + 1/(x - 3) = 4/(x - 2)
L.H.S → [3(x - 3) + x - 1]/(x - 1)(x - 3)
→ (3X - 9 + x - 1)/(x² - 4x + 3)
→ (4x - 10)/(x² - 4x + 3)
R.H.S = 4/(x - 2)
L.H.S = R.H.S
→ (4x - 10)/(x² - 4x + 3) = 4/(x - 2)
→ (4x - 10)(x - 2) = 4(x² - 4x + 3)
→ 4x² - 8x - 10x + 20 = 4x² - 16x + 12
→ - 18x + 20 = 12 - 16x
→ 20 - 12 = 18x - 16x
→ 8/2 = x → x = 4
Answer is 4.
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