Question

Solve the quadratic equation by factorization method 4/x-3=5/2x+3 x not equal to 0,-3/2

Answer 1

Answer:

Hope this will help you out.

Answer 2

Answer: -2 and 1

Step-by-step explanation:

Given,

⇒ 4/x - 3 = 5/2x + 3

⇒ 4 - 3x/x = 5/2x + 3

⇒ (4 - 3x) (2x + 3) = 5x

⇒ 12 - x - 6x² = 5x

⇒ 6x² + x - 12 = 0 .................. (1)

Now,

Dividing (1) by 6,

⇒ x² + x - 2 = 0

Factorize it :-

⇒ x² + 2x - x - 2 = 0

⇒ x(x + 2) - 1(x + 2) = 0

⇒ (x + 2)(x - 1)

⇒ x + 2 = 0

⇒ x = -2

Or,

⇒ x - 1 = 0

⇒ x = 1

Hence,

x = 1 and -2