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受欢迎的代数 >

3x(8x-9)(x^2+64)=0

解答

3 x (8 x - 9) (x^{2} + 64) = 0

解答

x = 0, x = \frac{9}{8}, x = 8 i, x = - 8 i

求解步骤

3 x (8 x - 9) (x^{2} + 64) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 8 x - 9 = 0 or x^{2} + 64 = 0

解

8 x - 9 = 0 : x = \frac{9}{8}

解

x^{2} + 64 = 0 : x = 8 i, x = - 8 i

解为

x = 0, x = \frac{9}{8}, x = 8 i, x = - 8 i

作图

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