oblicz [latex] left { {{2x-6y+3=0} atop {-6x+3 y^{2}+2=0 }} ight. [/latex]

6x-18y+9=0 -6x+3y²+2=0 +___________ 3y²-18y+11=0 a=3 b=-18 c=11 Δ=b²-4ac=(-18)²-4*33=324-132=192 [latex] x_{1}= frac{-b- sqrt{delta} }{2c} = frac{18-8 sqrt{3} }{22} = frac{9}{11} - frac{4}{11} sqrt{3} [/latex][latex] x_{2} = frac{-b+ sqrt{delta} }{2c} = frac{18+8 sqrt{3} }{22} = frac{9}{11} + frac{4}{11} sqrt{3} [/latex]