求解一个四元方程组
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{y + 2 λ x = 0, x + 2 z + 2 λ y = 0, 2 y + 2 λ z = 0, x^2 + y^2 + z^2 - 10 = 0}
x = -1, y = -sqrt(5), z = -2, λ = -sqrt(5)/2
x = -1, y = sqrt(5), z = -2, λ = sqrt(5)/2
x = 1, y = -sqrt(5), z = 2, λ = sqrt(5)/2
x = 1, y = sqrt(5), z = 2, λ = -sqrt(5)/2
x = -2 sqrt(2), y = 0, z = sqrt(2), λ = 0
x = 2 sqrt(2), y = 0, z = -sqrt(2), λ = 0
x = -1, y = -sqrt(5), z = -2, λ = -sqrt(5)/2
x = -1, y = sqrt(5), z = -2, λ = sqrt(5)/2
x = 1, y = -sqrt(5), z = 2, λ = sqrt(5)/2
x = 1, y = sqrt(5), z = 2, λ = -sqrt(5)/2
x = -2 sqrt(2), y = 0, z = sqrt(2), λ = 0
x = 2 sqrt(2), y = 0, z = -sqrt(2), λ = 0
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