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受欢迎的代数 >

3a^3-147a=-2a^2+98

解答

3 a^{3} - 147 a = - 2 a^{2} + 98

解答

a = - \frac{2}{3}, a = - 7, a = 7

+1

十进制

a = - 0.66666 \dots, a = - 7, a = 7

求解步骤

3 a^{3} - 147 a = - 2 a^{2} + 98

将

98

para o lado esquerdo

3 a^{3} - 147 a - 98 = - 2 a^{2}

将

2 a^{2}

para o lado esquerdo

3 a^{3} - 147 a - 98 + 2 a^{2} = 0

改写成标准形式

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

3 a^{3} + 2 a^{2} - 147 a - 98 = 0

因式分解

3 a^{3} + 2 a^{2} - 147 a - 98 : (3 a + 2) (a + 7) (a - 7)

(3 a + 2) (a + 7) (a - 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

3 a + 2 = 0 or a + 7 = 0 or a - 7 = 0

解

3 a + 2 = 0 : a = - \frac{2}{3}

解

a + 7 = 0 : a = - 7

解

a - 7 = 0 : a = 7

解为

a = - \frac{2}{3}, a = - 7, a = 7

作图

流行的例子

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z^{3} + 1 - i = 0

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