1. Find roots of the equation `(5x-18)/(x+2) = (2x-6)/(x-1)`
` (5x-18)/(x+2) = (2x-6)/(x-1)`
` => (5x-18)*(x-1) = (2x-6)*(x+2)`
` => 5x^2-23x+18 = 2x^2-2x-12`
` => 3x^2-21x+30 = 0`
` => (3x^2-21x+30) = 0`
` => 3x^2-21x+30 = 0`
` => 3(x^2-7x+10) = 0`
` => 3(x^2-2x-5x+10) = 0`
` => 3(x(x-2)+(-5)(x-2)) = 0`
` => 3(x-5)(x-2) = 0`
` => (x-5) = 0" or "(x-2) = 0`
` => x = 5" or "x = 2`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
