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人気のある代数 >

2x(100x^2-9)(x^2-3)=0

解

2 x (100 x^{2} - 9) (x^{2} - 3) = 0

解

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = - 3, x = 3

+1

十進法表記

x = 0, x = - 0.3, x = 0.3, x = - 1.73205 \dots, x = 1.73205 \dots

解答ステップ

2 x (100 x^{2} - 9) (x^{2} - 3) = 0

因数

2 x (100 x^{2} - 9) (x^{2} - 3) : 2 x (10 x + 3) (10 x - 3) (x + 3) (x - 3)

2 x (10 x + 3) (10 x - 3) (x + 3) (x - 3) = 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 10 x + 3 = 0 or 10 x - 3 = 0 or x + 3 = 0 or x - 3 = 0

解く

10 x + 3 = 0 : x = - \frac{3}{10}

解く

10 x - 3 = 0 : x = \frac{3}{10}

解く

x + 3 = 0 : x = - 3

解く

x - 3 = 0 : x = 3

解答は

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = - 3, x = 3

グラフ

人気の例

2 x^{4} = 1024 x

2 x^{3} - 1 = x^{6} - 1

x^{3} - 8 i = 0

x^6-6x^4+8x^2=0

x^{6} - 6 x^{4} + 8 x^{2} = 0

y^{4} - 5 y^{2} + 6 = 0