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受欢迎的代数 >

-2x(100x^2-9)(x^2+81)=0

解答

- 2 x (100 x^{2} - 9) (x^{2} + 81) = 0

解答

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = 9 i, x = - 9 i

求解步骤

- 2 x (100 x^{2} - 9) (x^{2} + 81) = 0

因式分解

- 2 x (100 x^{2} - 9) (x^{2} + 81) : - 2 x (10 x + 3) (10 x - 3) (x^{2} + 81)

- 2 x (10 x + 3) (10 x - 3) (x^{2} + 81) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 10 x + 3 = 0 or 10 x - 3 = 0 or x^{2} + 81 = 0

解

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

解

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

解

x^{2} + 81 = 0 : x = 9 i, x = - 9 i

解为

x = 0, x = - \frac{3}{10}, x = \frac{3}{10}, x = 9 i, x = - 9 i

作图

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