Matematică
ginamurgoi
2015-11-01 08:57:48
Rezolvati in R ecuatia: a) (x-1)^2+(x+2)^2-(x-2)(x+2)=24 b) (x-2)^2+(x+1)^2-(x-1)(x+1)=14
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Bufuu
2015-11-01 15:20:14

a. (x-1)²+(x+2)²-(x-2)(x+2)=24 x²-2x+1+x²+4x+4-x²+4=24 x²+2x+9=24 x²+2x-15=0 Δ=4-4x1x(-15)=64, √Δ=8 x1=(-2+8)/2=3, x2=(-2-8)/2=-5 b. x²-4x+4+x²+2x+1-x²+1=14 x²-2x+6=14 x²-2x-8=0 Δ=4-4x1x(-8)=4+32=36, √Δ=6 x1=(2+6)/2=4, x2=(2-6)/2=-2

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