Question

Solve the quadratic equation by simple method
x-1/x+1=2x-5/3x-7

Answer 1

Answer:

x = 3,4

Step-by-step explanation:

Given Equation is (x - 1/x + 1) = (2x - 5/3x - 7)

⇒ (3x - 7)(x - 1) = (2x - 5)(x + 1)

⇒ 3x² - 3x - 7x + 7 = 2x² + 2x - 5x - 5

⇒ 3x² - 10x + 7 = 2x² - 3x - 5

⇒ 3x² - 2x² - 10x + 3x + 7 + 5 = 0

⇒ x² - 7x + 12 = 0

⇒ x² - 4x - 3x + 12 = 0

⇒ x(x - 4) - 3(x - 4) = 0

⇒ (x - 3)(x - 4) = 0

⇒ x = 3,4

Hope it helps!