Question

Find all real solutions:

Answer 1

`(1)/(x-1)+(1)/(x+2)=(5)/(4)|\cdot4(x-1)(x+2)\\ D:x\\ot=1 \wedge x\\ot=-2\\ 4(x+2)+4(x-1)=5(x-1)(x+2)\\ 4x+8+4x-4=5(x^2+2x-x-2)\\ 8x+4=5x^2+5x-10\\ 5x^2-3x-14=0\\ 5x^2-10x+7x-14=0\\ 5x(x-2)+7(x-2)=0\\ (5x+7)(x-2)=0\\ x=-(7)/(5)\vee x=2`