a)x^2-4 dzielone na x+2=0
b)1 dzielone na x^2=4
c)2 dzielone na x^2+x - 1 dzielone na x^2 = 1 dzielone na 6x
d) x+2 dzielone na x-2 = x+3 dzielone na x-3 + 2 dzielone na x^2 - 5x+6
e)3 dzielone na x - 1 - 4x-1 dzielone na x+1 = x^2+5 dzielone na x^2-1 -- 5
f)1 dzielone na x^3-x = 1 na x
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a
x2-4/x+2=0/:(x+2)
x-2=0
x=2
b
1/x2=4
1(x2)=4
x2=4
x=2
c
2/x2+x - 1/x2=1/6x
2/x2+x -1/x2-1/6x=0
2(x2-6x)-1(x2+x-6x)-1(x2+x-x2)=0
2x2-12x-x2-x+6x-x2-x+x2=0
x2-8x=0/:x
x=8
d
x+2/x-2=x+3/x-3+2/x2-5x+6
x+2/x-2-x+3/x-3-2/x2-5x+6=0
(x+2)(x-3-x2-5x+6)-(x+3)(x-2-x2-5x+6)-2(x-2-x-3)=0
x2-3x-x3-5x2+6x+2x-6-2x2-1-x+12-x2+2x+x3+5x2-6x-3x+6+3x2+15x-18-2x+4+2x+6=0
X2+4x+4=0
del=16-16=0
x=-4/2=-2
e
3/x-1 -4x-1/x+1=x2+5/x2-1-5
3/x-1-4x-1/x+1-x2+5/(x-1)(x+1)+5=0
3(x+1)-(4x-1)(x-1)-x2+5(x2-1)
3x+3-4x2+4x+x-1-x2+5x2-5=0
8x-3=0
8x=3/8
x=3/8
f
1/x3-x=1/x
1/x3-x-1/x=0
1*x-1(x3-x)=0
x-x3+x=0
2x-x3=0/:x
2-x2=0
x2=2 (x-pierwiastekz 2)(x+pierwiastek z 2)