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Qulka:

Qulka: x=8+√3 lub x=8−√3

Basia: (x−6)²+(y−4)²=20 (x−2)²+(y−6)²=60 x²−12x+36+y²−8y+16=20 x²−4x+4+y²−12y+36=60 x²−12x+y²−8y = −32 x²−4x+y²−12y = 20 −x²+12x−y²+8y = 32 x²−4x+y²−12y=20 −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 8x−4y = 52 /:4 2x−y=13 y = 2x−13 (x−6)²+(2x−13−4)²=20 (x−6)²+(2x−17)²=20 x²−12x+36+4x²−68x+289−20=0 5x²−80x+305=0 /:5 x²−16x+61=0 Δ=256−244=12 √Δ=2√3

	16−2√3
x1=		= 8−√3 y1=16−2√3−13 = 3−2√3
	2

	16+2√3
x2=		= 8+√3 y2=16+2√3−13= 3+2√3
	2