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人気のある代数 >

x^3-x-3360=0

解

x^{3} - x - 3360 = 0

解

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

解答ステップ

x^{3} - x - 3360 = 0

因数

x^{3} - x - 3360 : (x - 15) (x^{2} + 15 x + 224)

(x - 15) (x^{2} + 15 x + 224) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x - 15 = 0 or x^{2} + 15 x + 224 = 0

解く

x - 15 = 0 : x = 15

解く

x^{2} + 15 x + 224 = 0 : x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

解答は

x = 15, x = - \frac{15}{2} + i \frac{671}{2}, x = - \frac{15}{2} - i \frac{671}{2}

グラフ

人気の例

b^3+2b^2-10b-19=0

b^{3} + 2 b^{2} - 10 b - 19 = 0

solvefor x,x^3+y^3=x^3y^3

so l v e f or x, x^{3} + y^{3} = x^{3} y^{3}

x^{25} = x^{0}

x^{4} + (x - 1)^{4} = 97

x^{3} = - 3