Question

solve 1÷x-1÷x-2=3 solve for x​

Answer 1

Answer:

=1÷x-1÷x-2=3

1÷x÷x=3+2

1÷2x=5

2x=5

x=5/2

Answer 2

$</p><p></p><p>\underline{\color{cyan}Given\;Question\;Is} \\\\</p><p></p><p>{\color{red}Find \; x \;\;\; IF\; \frac{1}{(x-1)}-\frac{1}{(x-2)} = 3} \\ \\</p><p></p><p></p><p>\underline{\underline{\color{cyan}Answer}} \\</p><p></p><p>\frac{1}{(x-1)}-\frac{1}{(x-2)} =3 \\ \\</p><p></p><p>\implies{\frac{(x-2)-(x-1)}{(x-1)*(x-2)} = 3} \\ \\</p><p></p><p>\implies{\frac{(x-2-x+1)}{(x^2-3x+2)} =3} \\ \\</p><p></p><p>\implies{-1 = 3x^2 -9x+6} \\ \\</p><p></p><p>\implies{3x^2-9x+7=0} \\ \\</p><p></p><p>\implies{x=\frac{9 \pm \sqrt{(81-42)}}{6}} \\ \\</p><p></p><p>\implies{x= \frac{9 \pm \sqrt{39}}{6}} \\ \\</p><p></p><p>\therefore \;\; x= \frac{9\pm \sqrt{39}}{6} \\ \\</p><p></p><p>\underline{\underline{\color{green}Note}} \\ \\</p><p></p><p>\underline{{\color{cyan} For\;A\;General\;Quadratic\;Equation\:Say} }\\ \\</p><p></p><p></p><p>ax^2+bx+c=0 \\ \\</p><p></p><p>x=\frac{-b \pm \sqrt{(b^2-4ac)}}{2a}</p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p>$