Question

(x+3/x-2)-(1-x/x)=17/4​

Answer 1

Answer:

Hi

What is this question.

Answer 2

Answer:

x=2/9,-4

Step-by-step explanation:

$\frac{x+3}{x+2} -\frac{1-x}{x}=\frac{17}{4}$

$\frac{x(x+3)-(x-2)(1-x)}{x(x+2)} =\frac{17}{4}$

$\frac{x^2+3x-(x-2-x^2+2x)}{x(x+2)} =\frac{17}{4}$

$\frac{x^2+3x-x+2+x^2-2x}{x(x+2)} =\frac{17}{4}$

$\frac{2x^2+2}{x(x+2)} =\frac{17}{4}$

$8x^2+8=17x^2+34x$

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

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

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

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

$x=2/9\\or\\x=-4$

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