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人気のある代数 >

(7x+1)(5x^3-10x^2)=0

解

(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

解

x = 0, x = 2, x = - \frac{1}{7}

+1

十進法表記

x = 0, x = 2, x = - 0.14285 \dots

解答ステップ

(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

因数

(7 x + 1) (5 x^{3} - 10 x^{2}) : 5 x^{2} (x - 2) (7 x + 1)

5 x^{2} (x - 2) (7 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 - 2 = 0 or 7 x + 1 = 0

解く

x - 2 = 0 : x = 2

解く

7 x + 1 = 0 : x = - \frac{1}{7}

解答は

x = 0, x = 2, x = - \frac{1}{7}

グラフ

人気の例

(x^2-5x)(x-36)=0

(x^{2} - 5 x) (x - 36) = 0

(2x^3)x^8=2x(3x^8)

(2 x^{3}) x^{8} = 2 x (3 x^{8})

x = - (x - 3)^{3}

x^{4} + 2 x^{2} - 12 = 0

x^{7} + 3 x + 3 = 0