1) (m - 3m^1/3)/(m^2/3 -3) = m^1/3 *(m^2/3 - 3) / (m^2/3 - 3 ) = m^1/3
2) (m^1/2 - n^1/2) / (m^1/4 + n^1/4) = (m^1/4 + n^1/4)(m^1/4 - n^1/4) / (m^1/4 + n^1/4) = m^1/4 - n^1/4
3) (x^1/3 - 2x^1/6y^1/6 + y^1/3) / (x^1/2y^1/3 - x^1/3 y^1/2 = (x^1/6 - y^1/6)(x^1/6 - y^1/6) / x^1/3y^1/3(x^1/6 - y^1/6) =(x^1/6 - y^1/6) / x^1/3y^1/3
Уравнение 12/(x^2-2x+3)=x^2-2x-1
<span>Замена переменной y=x^2-2x+3 </span>
<span>12/y=y-4 </span>
<span>y^2 -4y -12=0 </span>
<span>y1=-2; y2=6 </span>
<span>Обратная замена: </span>
<span>1) x^2-2x+3=-2 </span>
<span>x^2-2x+5=0 </span>
<span>D < 0, корней нет; </span>
<span>2) x^2-2x+3=6 </span>
<span>x^2-2x-3=0 </span>
<span>x=-1; x=3 - это ответ.</span>
(х+3)(х-4)=-6
х²-х-12+6=0
х²-х-6=0
D=1+24=25
х1=3
х2=-2
х(х-5)+99+15(х-5)=0
х²-5х+99+15х-75=0
х²+10х+24=0
D=4
х1=-6
х2=-4
3х(х+5)+88-20(х+5)=0
3х²+15х+88-20х-100=0
3х²-5х-12=0
D=169
х1=3
х2=-8/6=-4/3
M^2 -22/13mn+121/169n^2=(m-11/13n)^2
400/441t^2 +40/21nt+n^2=(20/21t+n)^2