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受欢迎的代数 >

6(5x^4-6x^2+1)=0

解答

6 (5 x^{4} - 6 x^{2} + 1) = 0

解答

x = - 1, x = 1, x = - \frac{1}{5}, x = \frac{1}{5}

+1

十进制

x = - 1, x = 1, x = - 0.4472135955, x = 0.4472135955

求解步骤

6 (5 x^{4} - 6 x^{2} + 1) = 0

因式分解

6 (5 x^{4} - 6 x^{2} + 1) : 6 (x + 1) (x - 1) (5 x + 1) (5 x - 1)

6 (x + 1) (x - 1) (5 x + 1) (5 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x - 1 = 0 or 5 x + 1 = 0 or 5 x - 1 = 0

解

x + 1 = 0 : x = - 1

解

x - 1 = 0 : x = 1

解

5 x + 1 = 0 : x = - \frac{1}{5}

解

5 x - 1 = 0 : x = \frac{1}{5}

解为

x = - 1, x = 1, x = - \frac{1}{5}, x = \frac{1}{5}

作图

流行的例子

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6804 = 3780 (1 + r)^{4}

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