CBSE Class 10CBSE
Share
Notifications

View all notifications

Solve for X : `1by(2x - 3) + 1by(X - 5) = 1 1by9 , X Not Equal 3by2, 5` - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Solve for x :

`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`

Solution

We have

`1/(2x - 3) + 1/(x - 5) = 1 1/9`

`=> (x - 5 + 2x - 3)/((3x - 3)(x - 5)) = 10/9`

`=> (3x - 8)/(2x^2 - 13x + 15) = 10/9`

⇒9(3x − 8) = 10(2x2 − 13x + 15)

⇒27x − 72 = 20x2 − 130x + 150

⇒20x2 − 157x + 222 = 0

⇒20x2 −  120x − 37x + 222 = 0

⇒20x(x − 6) − 37(x − 6) = 0

⇒(20x − 37)(x − 6) = 0

`=> x = 37/20 , 6`

  Is there an error in this question or solution?
Solution Solve for X : `1by(2x - 3) + 1by(X - 5) = 1 1by9 , X Not Equal 3by2, 5` Concept: Solutions of Quadratic Equations by Factorization.
S
View in app×