[latex] \frac{x^2+2x-15}{x-1} =0[/latex]

[latex] \frac{x^2+2x-15}{x-1} =0 \\\ \left \{ {{ x^2+2x-15 =0} \atop {x-1 \neq 0}} \right. \\\ \left \{ {{ x^2+5x-3x-15 =0} \atop {x \neq 1}} \right. \\\ \left \{ {{ x(x+5)-3(x+5) =0} \atop {x \neq 1}} \right. \\\ \left \{ {{ (x+5)(x-3) =0} \atop {x \neq 1}} \right. \\\ \left \{ {{ x=-5\ ; x=3} \atop {x \neq 1}} \right. \\\ x=-5\ ; x=3[/latex] Ответ: -5 и 3