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x(x +2) = 2 - 2x
x² + 2x + 2x - 2 = 0
x² + 4x - 2 = 0
a = 1
b = 4
c = - 2
Δ = b² - 4ac = 4² - 4 * 1 * - 2 = 16 + 8 = 24
√Δ = √24 = 2√6
x₁ = (- b - √Δ)/2a = (- 4 - 2√6)/2 = - 2(2 + √6)/2 = - (2 + √6)
x₂ = (- b + √Δ)/2a = (- 4 + 2√6)/2 = 2(√6 - 2)/2 = √6 - 2