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人気のある代数 >

3x^4-8x^3-16x^2+24x+32=0

解

3 x^{4} - 8 x^{3} - 16 x^{2} + 24 x + 32 = 0

解

x = 2, x = - \frac{4}{3}, x = 1 + 5, x = 1 - 5

+1

十進法表記

x = 2, x = - 1.33333 \dots, x = 3.23606 \dots, x = - 1.23606 \dots

解答ステップ

3 x^{4} - 8 x^{3} - 16 x^{2} + 24 x + 32 = 0

因数

3 x^{4} - 8 x^{3} - 16 x^{2} + 24 x + 32 : (x - 2) (3 x + 4) (x^{2} - 2 x - 4)

(x - 2) (3 x + 4) (x^{2} - 2 x - 4) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

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

解く

x - 2 = 0 : x = 2

解く

3 x + 4 = 0 : x = - \frac{4}{3}

解く

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

解答は

x = 2, x = - \frac{4}{3}, x = 1 + 5, x = 1 - 5

グラフ

人気の例

6x^3-7x^2-6x=-7

6 x^{3} - 7 x^{2} - 6 x = - 7

z^3-4z^2+9z-10=0

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

(9 + x^{2}) \cdot x = 3

4x^3+72x^2+200x+400=0

4 x^{3} + 72 x^{2} + 200 x + 400 = 0

(103) = 10 C^{3}