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-3x(2x-5)(x^2+25)=0

解答

- 3 x (2 x - 5) (x^{2} + 25) = 0

解答

x = 0, x = \frac{5}{2}, x = 5 i, x = - 5 i

求解步骤

- 3 x (2 x - 5) (x^{2} + 25) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 2 x - 5 = 0 or x^{2} + 25 = 0

解

2 x - 5 = 0 : x = \frac{5}{2}

解

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

解为

x = 0, x = \frac{5}{2}, x = 5 i, x = - 5 i

流行的例子

3 x^{2} = x^{4}

x^{6} - 7 x^{3} = 8

t^{4} = 3

2 x^{3} - 18 x = 0

z^{3} + 216 = 0