Разложите на множители не через дискриминант [latex]6x^2-11x-30[/latex]

[latex]6x^2-11x-30=6x^2-2*6*11/12x-30=[/latex] [latex]=6(x^2-2*11/12x)-30=[/latex] [latex]=6(x^2-2*11/12x+121/144-121/144)-30=[/latex] [latex]=6(x^2-2*11/12x+121/144)-6*121/144-30=[/latex] [latex]=6(x-11/12)^2-6*121/144-30=[/latex] [latex]=6((x-11/12)^2-121/144-5)=[/latex] [latex]=6((x-11/12)^2-841/144)=[/latex] [latex]=6((x-11/12)^2-(\sqrt{841}/12)^2)=[/latex] [latex]=6(x-11/12-\sqrt{841}/12)*(x-11/12+\sqrt{841}/12)[/latex]