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受欢迎的代数 >

9a^3-441a=-4a^2+196

解答

9 a^{3} - 441 a = - 4 a^{2} + 196

解答

a = - \frac{4}{9}, a = - 7, a = 7

+1

十进制

a = - 0.44444 \dots, a = - 7, a = 7

求解步骤

9 a^{3} - 441 a = - 4 a^{2} + 196

将

196

para o lado esquerdo

9 a^{3} - 441 a - 196 = - 4 a^{2}

将

4 a^{2}

para o lado esquerdo

9 a^{3} - 441 a - 196 + 4 a^{2} = 0

改写成标准形式

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

9 a^{3} + 4 a^{2} - 441 a - 196 = 0

因式分解

9 a^{3} + 4 a^{2} - 441 a - 196 : (9 a + 4) (a + 7) (a - 7)

(9 a + 4) (a + 7) (a - 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

9 a + 4 = 0 or a + 7 = 0 or a - 7 = 0

解

9 a + 4 = 0 : a = - \frac{4}{9}

解

a + 7 = 0 : a = - 7

解

a - 7 = 0 : a = 7

解为

a = - \frac{4}{9}, a = - 7, a = 7

作图

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