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人気のある代数 >

x^4-2x^3-10x^2+18x+9=0

解

x^{4} - 2 x^{3} - 10 x^{2} + 18 x + 9 = 0

解

x = - 3, x = 3, x = 1 + 2, x = 1 - 2

+1

十進法表記

x = - 3, x = 3, x = 2.41421 \dots, x = - 0.41421 \dots

解答ステップ

x^{4} - 2 x^{3} - 10 x^{2} + 18 x + 9 = 0

因数

x^{4} - 2 x^{3} - 10 x^{2} + 18 x + 9 : (x + 3) (x - 3) (x^{2} - 2 x - 1)

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

解く

x + 3 = 0 : x = - 3

解く

x - 3 = 0 : x = 3

解く

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

解答は

x = - 3, x = 3, x = 1 + 2, x = 1 - 2

グラフ

人気の例

x^{5} = - 243

0=x^5-2.2x^4-6.61x^3+8.602x^2

0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

x^{6} - 5 x^{3} + 6 = 0

x^3-5x^2+2x+12=0

x^{3} - 5 x^{2} + 2 x + 12 = 0

根 x^4-4x^3+6x^2-4x+1

roo t s x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1