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人気のある代数 >

x^4+2x^3-6x^2+3x=0

解

x^{4} + 2 x^{3} - 6 x^{2} + 3 x = 0

解

x = 0, x = 1, x = \frac{- 3 + 21}{2}, x = \frac{- 3 - 21}{2}

+1

十進法表記

x = 0, x = 1, x = 0.79128 \dots, x = - 3.79128 \dots

解答ステップ

x^{4} + 2 x^{3} - 6 x^{2} + 3 x = 0

因数

x^{4} + 2 x^{3} - 6 x^{2} + 3 x : x (x - 1) (x^{2} + 3 x - 3)

x (x - 1) (x^{2} + 3 x - 3) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x = 0 or x - 1 = 0 or x^{2} + 3 x - 3 = 0

解く

x - 1 = 0 : x = 1

解く

x^{2} + 3 x - 3 = 0 : x = \frac{- 3 + 21}{2}, x = \frac{- 3 - 21}{2}

解答は

x = 0, x = 1, x = \frac{- 3 + 21}{2}, x = \frac{- 3 - 21}{2}

グラフ

人気の例

x^4+9x^3+18x^2=0

x^{4} + 9 x^{3} + 18 x^{2} = 0

3 x^{3} = 8 x^{2} - 4 x

x^{3} + 8 = - 56

12x^4+11x^3-26x^2+x+2=0

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

solvefor x,y=(x-1)^3

so l v e f or x, y = (x - 1)^{3}