Question

Plz can someone help I have tried this question so many times. Thanks

Answer 1

`(3)/(x-2)+(x)/(x+1)=2\\ x\\ot=2 \wedge x\\ot=-1\\ 3(x+1)+x(x-2)=2(x-2)(x+1)\\ 3x+3+x^2-2x=2(x^2+x-2x-2)\\ x^2+x+3=2x^2-2x-4\\ x^2-3x-7=0\\ \Delta=(-3)^2-4\cdot1\cdot(-7)=9+28=37\\ x_1=(-(-3)-√(37))/(2\cdot1)=(3-√(37))/(2)\\ x_2=(-(-3)+√(37))/(2\cdot1)=(3+√(37))/(2)\\`