X^2 - 2X + 2sqrt(3) - 3 = 0

Question

X^2 - 2X + 2sqrt(3) - 3 = 0

Answer 1

D = 4 - 8√3 + 12 = 8(2 - √3); √D = 2√(4-2√3) = 2√(1-2√3 + (√3)^2) = 2√(√3-1)^2 = 2(√3-1)

x1 = (2 - 2(√3-1))/2 = 1 - √3 + 1 = 2 - √3

x2 = (2 + 2(√3-1))/2 = 1 + √3 - 1 = √3

Ответ: √3 и 2 - √3