Решите неравенство x^4 - x^3 - 4x^2 - x + 1 > 0. Created by mtd77. algebra-ru

X⁴-x³-4x²-x+1>0x⁴+x³-2x³-2x²-2x²-2x+x+1>0x³(x+1)-2x²(x+1)-2x(x+1)+(x+1)>0(x+1)(x³-2x²-2x+1)>0(x+1)(x³+1³-2x(x+1))>0(x+1)²(x²-x+1-2x)>0(x+1)²(x²-3x+1)>0{(x+1)²>0;x≠-1{x²-3x+1>0D=9-4=5x=(3±√5)/2x€(-oo;(3-√5)/2)U((3+√5)/2;+oo);x≠-1Новые вопросы в АлгебраУпростите выражения при допустимых значениях переменныхУпростите выражение при допустимых значениях переменных49 одно второй степениТоже с решением.................Вычислить с решением, не уверен что правиильно все делаюПомогите решить уравнение плиз даю 30 балов1/6 = (10+4х)+10Переведите в киллограммы и вычислите ( с решением)(b²+b-1)-(b²-b+1) помогите пожалуйста -12c²+5c+(c+11c²) помогите пожалуйста Раскрой скобки и упрости выражение. (5,4x+14y)+(−8,9y−19x) = ____x + ___y(Если коэффициент при переменной равен 1, то его нужно записать в окошко для…ответа!)ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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Решите неравенство x^4 - x^3 - 4x^2

mtd77 @mtd77

July 2022 1 23 Report

Решите неравенство
x^4 - x^3 - 4x^2 - x + 1 > 0

Answers & Comments

армения20171 X⁴-x³-4x²-x+1>0
x⁴+x³-2x³-2x²-2x²-2x+x+1>0
x³(x+1)-2x²(x+1)-2x(x+1)+(x+1)>0
(x+1)(x³-2x²-2x+1)>0

(x+1)(x³+1³-2x(x+1))>0

(x+1)²(x²-x+1-2x)>0
(x+1)²(x²-3x+1)>0
{(x+1)²>0;x≠-1
{x²-3x+1>0
D=9-4=5
x=(3±√5)/2
x€(-oo;(3-√5)/2)U((3+√5)/2;+oo);x≠-1