x = y + 2 x^2 + y^2 = 37
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x = y+2
x²+y²=37
(y+2)²+y²=37
y²+2*2*y+2²+y²=37
2y²+4y+4=37
y²+2y+2=37 сократили на "2"
y²+2y-35=0
D(дискриминант) = 2²-4*1*(-35)=144
y₁ = -2-12 / 2 = -7
y₂ = -2+12 / 2 = 5.
x₁ = -7+2 = -5
x₂ = 5+2 = 7
(-7;5)(-5;7)
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Verified answer
x = y+2
x²+y²=37
(y+2)²+y²=37
y²+2*2*y+2²+y²=37
2y²+4y+4=37
y²+2y+2=37 сократили на "2"
y²+2y-35=0
D(дискриминант) = 2²-4*1*(-35)=144
y₁ = -2-12 / 2 = -7
y₂ = -2+12 / 2 = 5.
x₁ = -7+2 = -5
x₂ = 5+2 = 7
(-7;5)(-5;7)