Question

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

Answer 1

\(\Large \color{purple}{\rightarrow {a \over c} + {b \over d} = {ad + bc \over cd } }\)

Answer 2

Multiply all terms by the common denominator (x-2)(x+1)\[(x-2)(x+1)\times\frac{2}{x-2}+(x-2)(x+1)\times\frac{4}{x+1}=3(x-2)(x+1)\]

Answer 3

\[2(x+1)+4(x-2)=3(x^2-x-2)\]

Answer 4

\[2x+2+4x-8=3x^2-3x-6\]

Answer 5

\[0=3x^2-9x\]

Answer 6

\[3x(x-3)=0\]

Answer 7

\[x=0, x=3\]

Answer 8

2-2/x=4/x+1=3
2-6/x+1=3
6/x-1=3
6/x=4
x=6/4