Question

Solve the following quadratic equations by factorization:
4/x-3=5/2x+3,x≠0,-3/2

Answer 1

Answer:

Step-by-step explanation:

Kitne ques. puche ga pagle

Answer 2

X = -2, +1

Step-by-step explanation:

4/x - 3 = 5/ (2x+3)

(4 - 3x) * (2x+3) = 5x

8x - 6x² + 12 -9x = 5x

6x² + 6x -12 = 0

Dividing by 6, we get:

x² + x - 2 = 0

Factors of -2 are -1 and +2.

So  x² + x - 2 = 0 can be written as:

 x² + 2x -x - 2 = 0

 x (x +2) -1(x +2) = 0

(x + 2) (x -1) = 0

So the factors are (x + 2) and (x -1).

If x + 2 = 0, then x = -2

If x - 1 = 0, then x = +1

Hence solved.

X = -2, +1