A³-4a=a(a²-4)=a(a+2)(a-2)
ax²-ay²=a(x²-y²)=a(x+y)(x-y)
3a²-6ab+3b²=3(a²-2ab+b²)=3(a-b)(a-b)=3.(a-b)²
ax²+ax+a=a(x²+x+1)
x²+7x=0, x(x+7)=0, x1=0,x2=-7
x²-25=0, (x+5)(x-5)=0, x1=-5,x2=5
Первое не знаю как делать.
2. -x^2+26x-25=0
D=кв.корень 576=24
x1=(-26+24)/2=1
x2=(-26-24)/2=25
y^2-4y-96=0
D=16+384=400=20
y1=(4+20)/2=12
y2=(4-20)/2=-8
X1 = 1/2^1 + 2^1 = 1/2 + 2 = 2,5
x2 = 1/2^2 + 2^2 = 1/4 + 4 = 4,25
x3 = 1/2^3 + 2^3 = 1/8 + 8 = 8,125
x4 = 1/2^4 + 2^4 = 1/16 + 16 = 16,0625
x5 = 1/2^5 + 2^5 = 1/32 + 32 = 32,03125
8b-27=5
8b=5+27
8b=32
b=32:8
b=4
X-16<(5-2x)-x-1
X-16<5-2x-x-1
X-16<4-3x
х+3х<4+16
4x<20
x<5