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
1)x/(a+b) = a/(a^2-b^2)
x/(a+b) = a/(a-b)(a+b)
x*(a-b) = a
x=a/(a-b)
2)(a^2 - b^2)/x = (a^2 - 2ab +b^2)/b
x = (a^2 - b^2):(a^2 - 2ab +b^2)/b
x = (a^2 - b^2)*b/(a^2 - 2ab +b^2)
x = (a-b)(a+b)b/(a-b)^2 = (a+b)b/(a-b) = (ab+b^2)(a-b)
3) (a^4-a)/(2a^2-2a) = (a^2+a+1)/x
a(a^3-1)/2a(a-1) = (a^2+a+1)/x
x = (a^2+a+1) : a(a^3-1)/2a(a-1) =
= (a^2+a+1) * 2a(a-1)/ a(a^3-1) =
= 2(a^3+a^2+a-a^2-a-1)/(a^3-1) = 2(a^3-1)/(a^3-1) = 2
x=2
1 вариант не будет членом последовательности