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人気のある代数 >

(6x+7)^2(3x+4)(x+1)=6

解

(6 x + 7)^{2} (3 x + 4) (x + 1) = 6

解

x = - \frac{2}{3}, x = - \frac{5}{3}, x = - \frac{7}{6} + i \frac{2}{3}, x = - \frac{7}{6} - i \frac{2}{3}

解答ステップ

(6 x + 7)^{2} (3 x + 4) (x + 1) = 6

拡張

(6 x + 7)^{2} (3 x + 4) (x + 1) : 108 x^{4} + 504 x^{3} + 879 x^{2} + 679 x + 196

108 x^{4} + 504 x^{3} + 879 x^{2} + 679 x + 196 = 6

6

を左側に移動します

108 x^{4} + 504 x^{3} + 879 x^{2} + 679 x + 190 = 0

因数

108 x^{4} + 504 x^{3} + 879 x^{2} + 679 x + 190 : (3 x + 2) (3 x + 5) (12 x^{2} + 28 x + 19)

(3 x + 2) (3 x + 5) (12 x^{2} + 28 x + 19) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

3 x + 2 = 0 or 3 x + 5 = 0 or 12 x^{2} + 28 x + 19 = 0

解く

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

解く

3 x + 5 = 0 : x = - \frac{5}{3}

解く

12 x^{2} + 28 x + 19 = 0 : x = - \frac{7}{6} + i \frac{2}{3}, x = - \frac{7}{6} - i \frac{2}{3}

解答は

x = - \frac{2}{3}, x = - \frac{5}{3}, x = - \frac{7}{6} + i \frac{2}{3}, x = - \frac{7}{6} - i \frac{2}{3}

グラフ

人気の例

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

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

0.5x^3-x^2-x+1=0

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

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

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

s^3+3s^2+2s-10=0

s^{3} + 3 s^{2} + 2 s - 10 = 0

- 2 x^{4} + 7 = 3 x + 1