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受欢迎的代数 >

32x-16=2x^3-x^2

解答

32 x - 16 = 2 x^{3} - x^{2}

解答

x = \frac{1}{2}, x = - 4, x = 4

+1

十进制

x = 0.5, x = - 4, x = 4

求解步骤

32 x - 16 = 2 x^{3} - x^{2}

交换两边

2 x^{3} - x^{2} = 32 x - 16

将

16

para o lado esquerdo

2 x^{3} - x^{2} + 16 = 32 x

将

32 x

para o lado esquerdo

2 x^{3} - x^{2} + 16 - 32 x = 0

改写成标准形式

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

2 x^{3} - x^{2} - 32 x + 16 = 0

因式分解

2 x^{3} - x^{2} - 32 x + 16 : (2 x - 1) (x + 4) (x - 4)

(2 x - 1) (x + 4) (x - 4) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x - 1 = 0 or x + 4 = 0 or x - 4 = 0

解

2 x - 1 = 0 : x = \frac{1}{2}

解

x + 4 = 0 : x = - 4

解

x - 4 = 0 : x = 4

解为

x = \frac{1}{2}, x = - 4, x = 4

作图

流行的例子

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