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人気のある代数 >

-3(x^2-16)(25x^2-36)=0

解

- 3 (x^{2} - 16) (25 x^{2} - 36) = 0

解

x = - 4, x = 4, x = - \frac{6}{5}, x = \frac{6}{5}

+1

十進法表記

x = - 4, x = 4, x = - 1.2, x = 1.2

解答ステップ

- 3 (x^{2} - 16) (25 x^{2} - 36) = 0

因数

- 3 (x^{2} - 16) (25 x^{2} - 36) : - 3 (x + 4) (x - 4) (5 x + 6) (5 x - 6)

- 3 (x + 4) (x - 4) (5 x + 6) (5 x - 6) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x + 4 = 0 or x - 4 = 0 or 5 x + 6 = 0 or 5 x - 6 = 0

解く

x + 4 = 0 : x = - 4

解く

x - 4 = 0 : x = 4

解く

5 x + 6 = 0 : x = - \frac{6}{5}

解く

5 x - 6 = 0 : x = \frac{6}{5}

解答は

x = - 4, x = 4, x = - \frac{6}{5}, x = \frac{6}{5}

グラフ

人気の例

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

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

a = (x - 3)^{10} + 1

x^{3} - 3 x^{2} - 18 x = 0

x(x+1)(x+2)=63(x+1)

x (x + 1) (x + 2) = 63 (x + 1)

36 x^{3} = 144 x