Question

х^3+2х^2-5х-10=0
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Answer 1

x³ + 2x² - 5x - 10 = 0
(x³ + 2x²) - (5x + 10) = 0
x²(x + 2) - 5(x + 2) = 0
(x + 2)(x² - 5) = 0
$(x +2)(x + sqrt{5})(x- sqrt{5})=0\\x+2=0\\ x_{1} =-2\\x+ sqrt{5}=0\\ x_{2} =- sqrt{5} \\x- sqrt{5} =0\\x _{3} = sqrt{5}$
Ответ: $- sqrt{5};-2; sqrt{5}$