Rozwiąż równania
1]
27-y^3=0
-y^3=-27
y^3=27
y=3
2]
x^3-9x=0
x(x^2-9)=0
x=0 U x^2-9=0
x^2=9
x=-3 U x=3
3]
x^3-4x=0
x(x^2-4)=0
x=0 U x^2-4=0
x^2=4
x=-2 U x=2
4]
2x^3+x^2=0
x^2(2x+1)=0
x^2=0
x=0 U 2x+1=0
2x=-1
x=-1/2
5]
-2x^3-2x=0
2x(-x^2-1)=0
2x=0
x=0 U -x^2-1=0
-x^2=1
x^2=-1
sprzeczne
odp: x=0
6]
x^2(x-3)-4(x-3)=0
x^2-4=0 U x-3=0
x^2=4 x=3
x=±2
b)
c)
d)
e)
f)
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1]
27-y^3=0
-y^3=-27
y^3=27
y=3
2]
x^3-9x=0
x(x^2-9)=0
x=0 U x^2-9=0
x^2=9
x=-3 U x=3
3]
x^3-4x=0
x(x^2-4)=0
x=0 U x^2-4=0
x^2=4
x=-2 U x=2
4]
2x^3+x^2=0
x^2(2x+1)=0
x^2=0
x=0 U 2x+1=0
2x=-1
x=-1/2
5]
-2x^3-2x=0
2x(-x^2-1)=0
2x=0
x=0 U -x^2-1=0
-x^2=1
x^2=-1
sprzeczne
odp: x=0
6]
x^2(x-3)-4(x-3)=0
x^2-4=0 U x-3=0
x^2=4 x=3
x=±2
b)
c)
d)
e)
f)