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人気のある代数 >

x^5-4x^4-2x^3+4x^2+x=0

解

x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} + x = 0

解

x = 0, x = - 1, x = 1, x = 2 + 5, x = 2 - 5

+1

十進法表記

x = 0, x = - 1, x = 1, x = 4.23606 \dots, x = - 0.23606 \dots

解答ステップ

x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} + x = 0

因数

x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} + x : x (x + 1) (x - 1) (x^{2} - 4 x - 1)

x (x + 1) (x - 1) (x^{2} - 4 x - 1) = 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 - 1 = 0 or x^{2} - 4 x - 1 = 0

解く

x + 1 = 0 : x = - 1

解く

x - 1 = 0 : x = 1

解く

x^{2} - 4 x - 1 = 0 : x = 2 + 5, x = 2 - 5

解答は

x = 0, x = - 1, x = 1, x = 2 + 5, x = 2 - 5

グラフ

人気の例

-x^3+446.8x^2+551x+257.6=0

- x^{3} + 446.8 x^{2} + 551 x + 257.6 = 0

solvefor y,1+7xy^4-3z^3=0

so l v e f or y, 1 + 7 x y^{4} - 3 z^{3} = 0

70x^3+24x^2-10x+20=0

70 x^{3} + 24 x^{2} - 10 x + 20 = 0

5 x^{3} + 3 x - 5 = 0

x^{6} - 511 x^{3} = 512