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x²+2x-2 = 0. a=1, b=2, c=-2.
D = b² - 4ac
D = 2² - 4·1·(-2) = 4 + 8 = 12.
![x_1_,_2 = dfrac{-b б sqrt{D}}{2a}. \ \ \
x_1 = dfrac{-2+ sqrt{12}}{2 cdot 1} = dfrac{-2 + sqrt{4cdot3}}{2cdot1} = dfrac{-2+ 2sqrt{3}}{2} = -1 + sqrt{3}. \ \
x_2 = dfrac{-2 - sqrt{12}}{2 cdot 1} = dfrac{-2 - sqrt{4cdot3}}{2cdot1} = dfrac{-2 - 2sqrt{3}}{2} = -1 - sqrt{3}. \ \ \
boxed{ boldsymbol{OTBET:-1 - sqrt{3}; -1 + sqrt{3}} }](https://tex.z-dn.net/?f=x_1_%2C_2+%3D++dfrac%7B-b+%D0%B1+sqrt%7BD%7D%7D%7B2a%7D.+%5C+%5C+%5C+%0Ax_1+%3D++dfrac%7B-2%2B+sqrt%7B12%7D%7D%7B2+cdot+1%7D+%3D+dfrac%7B-2+%2B+sqrt%7B4cdot3%7D%7D%7B2cdot1%7D++%3D++dfrac%7B-2%2B+2sqrt%7B3%7D%7D%7B2%7D+%3D+-1+%2B+sqrt%7B3%7D.+%5C+%5C+%0Ax_2+%3D+dfrac%7B-2+-+sqrt%7B12%7D%7D%7B2+cdot+1%7D+%3D+dfrac%7B-2+-+sqrt%7B4cdot3%7D%7D%7B2cdot1%7D+%3D+dfrac%7B-2+-+2sqrt%7B3%7D%7D%7B2%7D+%3D+-1+-+sqrt%7B3%7D.+%5C+%5C+%5C+%0Aboxed%7B+boldsymbol%7BOTBET%3A-1+-+sqrt%7B3%7D%3B+++-1+%2B+sqrt%7B3%7D%7D+%7D+ "x_1_,_2 = dfrac{-b б sqrt{D}}{2a}. \ \ \
x_1 = dfrac{-2+ sqrt{12}}{2 cdot 1} = dfrac{-2 + sqrt{4cdot3}}{2cdot1} = dfrac{-2+ 2sqrt{3}}{2} = -1 + sqrt{3}. \ \
x_2 = dfrac{-2 - sqrt{12}}{2 cdot 1} = dfrac{-2 - sqrt{4cdot3}}{2cdot1} = dfrac{-2 - 2sqrt{3}}{2} = -1 - sqrt{3}. \ \ \
boxed{ boldsymbol{OTBET:-1 - sqrt{3}; -1 + sqrt{3}} }")
D = b² - 4ac
D = 2² - 4·1·(-2) = 4 + 8 = 12.
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