x^2 + 8x - 3 = 0
x(1,2) = [+8 + - V(8^2 - 4*(-3))]\2 = (8 + - V76)\2 = (8 + - 2V19)\2 = 4 + - V19
x1 = 4 - V19
x2 = 4 - V19
=> для составляемого уравнения
x1 = 4 - V19 - 2 = 2 - V19
x2 = 4 + V19 - 2 = 2 + V19
x^2 + px + b = 0
x1 + x2 = -p ------> p = -[(2 - V19) + (2 + V19)] = -4
x1 * x2 = b -------> b = (2 - V19)*(2 + V19) = 4 - 19 = -15
=> уравнение будет:
x^2 + (-4)x - 15 = 0 или
x^2 - 4x - 15 = 0
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Answers & Comments
x^2 + 8x - 3 = 0
x(1,2) = [+8 + - V(8^2 - 4*(-3))]\2 = (8 + - V76)\2 = (8 + - 2V19)\2 = 4 + - V19
x1 = 4 - V19
x2 = 4 - V19
=> для составляемого уравнения
x1 = 4 - V19 - 2 = 2 - V19
x2 = 4 + V19 - 2 = 2 + V19
x^2 + px + b = 0
x1 + x2 = -p ------> p = -[(2 - V19) + (2 + V19)] = -4
x1 * x2 = b -------> b = (2 - V19)*(2 + V19) = 4 - 19 = -15
=> уравнение будет:
x^2 + (-4)x - 15 = 0 или
x^2 - 4x - 15 = 0