1 ) х^2+14х+24/х-2=0. 2) х^2+12-13/х-1=0 3) 3х^2-4х-20/х+4=0. 4) 6х^2-5х-4/5-х=0. Вот...

1.
$\frac{x^2+14x+24}{x-2} =0\\x \neq 2\\x^2+14x+24=0\\D=14^2-4*1*24=100\\x= \frac{-14\pm10}{2} \\x_1= \frac{-14+10}{2} =-2\\x_2= \frac{-14-10}{2} =-12$
Ответ: х=-2, х=-12
2.
$\frac{x^2+12-13}{x-1} =0\\x \neq 1\\a+b+c=0 =\ \textgreater \ x=1, x=-13$
Ответ: х=-13
3.
$\frac{3x^2-4x-20}{x+4}=0\\x \neq -4\\3x^2-4x-20=0\\D=4^2-4*3*(-20)=256\\x= \frac{4\pm16}{2*3} \\x_1= \frac{4+16}{6} = \frac{10}{3} \\x_2= \frac{4-16}{6} =-2\\$
Ответ: x=10/3, x=-2
4.
$\frac{6x^2-5x-4}{5-x}=0\\x \neq 5\\6x^2-5x-4=0\\ D=5^2-4*6*(-4)=121\\x= \frac{5\pm11}{2*6} \\x_1= \frac{5+11}{12} = \frac{4}{3} \\x_2= \frac{5-11}{12} =-0,5$
Ответ: х=4/3, x=-0,5