Question

find the roots of the equation 6/x-2/x-1=1/x-2​

Answer 1

Step-by-step explanation:

Given equation is, On cross multiplying, we have x(3x – 5) = 6(x2 – 3x + 2) ⇒ 3x2 – 5x = 6x2 – 18x + 12 ⇒ 3x2 – 13x + 12 = 0 ⇒ 3x2 – 9x – 4x + 12 = 0 ⇒ 3x(x – 3) – 4(x – 3) = 0 ⇒ (x – 3)(3x – 4) = 0 Now, either x – 3 = 0 ⇒ x = 3 Or, 3x – 4 = 0 ⇒ 4343. Thus, the roots of the given quadratic equation are 3 and 4343 respectively.Read more on Sarthaks.com - https://www.sarthaks.com/647174/find-the-roots-of-the-equation-1-x-2-2-x-1-6-x-x-0