1)x²-100x=0,x(x-100)=0, x1=0,x2=100
2)9/25x³-x=0, x(9/25x²-1)=0,x((3x/5)²-1²)=0,x(3x/5+1)(3x/5-1)=0
x1=0,x2=-5/3,x3=5/3
3)25y²+20y+4=0,(5y+2)(5y+2)=0, y=-2/5
4)36x²+25=60x,36x²ˇ-60x+25=0,(6x-5)²=0,x=5/6
Решение смотри во вложении.
1
1)(b+2)/(b-1)²*3(b-1)/[(b-2)(b+2)]=3/[(b-1)(b-2)]
2)3/[(b-1)(b-2)]-3/(b-2)=(3-3b+3)/[(b-1)(b-2)]=-3(b-2)/[(b-1)(b-2)]=3/(1-b)
2
1)1/(a-2)²+2/[(a-2)(a+2)+1/(a+2)²=(a²+4a+4+2a²-8+a²-4a+4)/(a²-4)²=
=4a²/(a²-4)²
2)4a²/(a²-4)*(a²-4)²/2a=2a