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Q: X2 plus y2 plus 4x - 2y - 5 equals 0?

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y = 4x-3

x2 + 2y - 6x + 8y - 1 = x2 - y2 + 4x + 6y - 1 y2 - 10x + 4y = 0 y(y+4) = 10x It cannot be solved completely because with two variables (x and y) you need two independent equations for a full solution.

Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2

x2 + 2y = 52 + 2*2 = 25 + 4 = 29

x2+4x+4 = 25 x2+4x+4-25 = 0 x2+4x-21 = 0 (x+7)(x-3) = 0 x = -7 or x = 3

2x = x2 + 4x - 3 x2 + 2x - 3 = 0 (x - 1)(x - 2) = 0

x^2+4x+7

x2 + 4x + 3 = 0 (x + 1)(x + 3) = 0 x ∈ {-3, -1}

y=-x^2+4x-3

Y = x2 + 4x + 11OK. That's very interesting.Is there a question ?

x2 + 4x = 0 ⇒ x(x + 4) = 0 ⇒ x = 0 or x = -4

x(x+4) equals x2 plus 4x

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