Question

X+3/x-2 - 1-x/x =17/4find the x with methods​

Answer 1

Step-by-step explanation:

x+3/x-2 - 1-x/x= 17/4

now let's put the expression on the upper side so it I'll be

x+3-x-2-1-x-x= 17×14

x-x-x-x+3-2-1= 238

+3-3= 238

= 238 answer

Answer 2

Answer:

The solution set is {-2/9, 4).

Step-by-step explanation:

(x + 3)/(x-2)  - (1-x)/x = 17/4

Multiply through by the LCD ( = 4x(x - 2):

(x + 3)4x - 4(1 - x)(x - 2) = 17x(x - 2)

4x^2 + 12x - 4(x - 2 - x^2 + 2x) - 17x^2 + 34x = 0

4x^2 + 12x - 4x + 8 + 4x^2 - 8x - 17x^2 + 34x = 0

-9x^2 + 34x + 8 = 0

We need 2 numbers  whose product = -72 ( -9 * 8) and whose sum is 34.

These are +36 and -2, so we write:

-9x^2 + 36x - 2x + 8 = 0

-9x(x - 4) - 2(x - 4) = 0

(-9x + 2)(x - 4) = 0

x = -2/9, 4.