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1 (x+2)(x²-2x+4)/(x+2)(6x-1)=(x²-2x+4)/(6x-1) 6x²+11x-2=6(x-1/6)(x+2)=(6x-1)(x+2) D=121+48=169 x1=(-11+13)/12=1/6 U x2=(-11-13)/12=-2 2 (x-2)(x+2)/(x-2)(3-x)=(x+2)/(3-x) -x²+5x-6=-(x²-5x+6)=-(x-2)(x-3)=(x-2)(3-x) x1+x2=5 U x1*x2=6 x1=2 U x2=3 3 (x+5)(x-3)/(x-3)(1-x)=(x+5)/(1-x) x²+2x-15=(x+5)(x-3) x1=x2=-2 U x1*x2=-15 x1=-5 U x2=3 -x²+4x-3=-(x²-4x+3)=-(x-3)(x-1)=(x-3)(1-x) x1=x2=4 U x1*x2=3 x1=1 U x2=3
Answers & Comments
(x+2)(x²-2x+4)/(x+2)(6x-1)=(x²-2x+4)/(6x-1)
6x²+11x-2=6(x-1/6)(x+2)=(6x-1)(x+2)
D=121+48=169
x1=(-11+13)/12=1/6 U x2=(-11-13)/12=-2
2
(x-2)(x+2)/(x-2)(3-x)=(x+2)/(3-x)
-x²+5x-6=-(x²-5x+6)=-(x-2)(x-3)=(x-2)(3-x)
x1+x2=5 U x1*x2=6
x1=2 U x2=3
3
(x+5)(x-3)/(x-3)(1-x)=(x+5)/(1-x)
x²+2x-15=(x+5)(x-3)
x1=x2=-2 U x1*x2=-15
x1=-5 U x2=3
-x²+4x-3=-(x²-4x+3)=-(x-3)(x-1)=(x-3)(1-x)
x1=x2=4 U x1*x2=3 x1=1 U x2=3