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Ioana12
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Pe: 2020-10-18T12:38:56+03:00 In: In:

Va rog sa ma ajutatiiiiiii

Va rog sa ma ajutatiiiiiii

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  1. Suport

    1.|x+2|=1 => x+2=1 sau x+2=-1 =>x=-1 sau x=-3

    2.|x+4|=2 => x+4=2 sau x+4=-2 =>x=-2 sau x=-6

    3.|x^2-6x+8|=8 => x^2-6x+8=8 sau x^2-6x+8=-8
    x^2-6x+8=8 => x^2-6x=0 => x(x-6)=0 => x=0 sau x=6
    x^2-6x+8=-8 => x^2-6x+16=0
    \Delta=6^2-4*16=36-64 =>\Delta<0, deci nu avem solutii reale

    4.|x^2+10x+9|=9 => x^2+10x+9=9 sau x^2+10x+9=-9
    x^2+10x+9=9 => x^2+10x=0 => x(x+10)=0 => x=0 sau x=-10
    x^2+10x+9=-9 => x^2+10x+18=0
    \Delta=10^2-4*18=100-72=28 => x_{12}=\frac{-10\pm\sqrt{28}}2=\frac{-10\pm2\sqrt7}2=-5\pm\sqrt7

    5.|x^2+2x+3|=3 =>x^2+2x+3=3 sau x^2+2x+3=-3
    x^2+2x+3=3 => x^2+2x=0 => x(x+2)=0 => x=0 sau x=-2
    x^2+2x+3=-3 => x^2+2x+6=0
    \Delta=4^2-4*6=16-24<0 => ecuatia nu are solutii reale.

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