Question

solve x-1/2x+1+2x+1/x-1=5 (class 10 quadratic equations)​

Answer 1

Answer:

(x–1)/(2x+1) + (2x+1)/(x–1) = 5

=> [(x–1)(x–1) + (2x+1)(2x+1)] ÷ (2x+1)(x–1) = 5

=> (x^2 – 2x + 1 + 4x^2 + 4x + 1) = 5 (2x+1)(x–1)

=> 5x^2 + 2x + 2 = 10x+5 (x–1)

=> 5x^2 + 2x + 2 = 10x^2 + 5x – 10x – 1

=> 5x^2 + 2x – 10x^2 + 5x = –3

=> –5x^2 + 7x = –3

=> x = 5x^2 –3

5x^2 –3 7

:. 5(x-squared) – 3 by 7 is the value of x.