Question

solve this..............​

Answer 1

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.