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Zad. 1
Rozwiąż równanie
a) (x²-x)(x+2)=0
b) (x²+x)(x-3)=0
c) x³-2x²-3x=0
d) x³+5x²-6x=0​


Odpowiedź :

(x²-x)(x+2)=0

X²-x = 0 v x+2 =0

X(x-1) = 0 x= -2

X=0 v x= 1

X={-2, 0,1}

(x²+x)(x-3)=0

X²+x= 0 v x-3= 0

X(x+1) =0 x= 3

X=0 x=-1

X={ -1,0,3}

x³-2x²-3x=0

X(x²-2x-3) /0

X=0 v x²-2x-3 =0

Delta = 4+12= 16

X1= 2-4 / 2 =-1

X2= 3

X={-1,0,3}

x³+5x²-6x=0

X( x²+5x-6) =0

X=0 v x²+5x-6 = 0

Delat = 25+24= 49

X1= -5- 7 / 2 = -6

X2= 1

X={-6,0,1}