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受欢迎的代数 >

(3a-2)(2a+1)=a(a+12)

解答

(3 a - 2) (2 a + 1) = a (a + 12)

解答

a = \frac{13 + 209}{10}, a = \frac{13 - 209}{10}

+1

十进制

a = 2.74568 \dots, a = - 0.14568 \dots

求解步骤

(3 a - 2) (2 a + 1) = a (a + 12)

展开

(3 a - 2) (2 a + 1) : 6 a^{2} - a - 2

展开

a (a + 12) : a^{2} + 12 a

6 a^{2} - a - 2 = a^{2} + 12 a

将

12 a

para o lado esquerdo

6 a^{2} - 13 a - 2 = a^{2}

将

a^{2}

para o lado esquerdo

5 a^{2} - 13 a - 2 = 0

使用求根公式求解

a_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 5 ( - 2 )}{2 \cdot 5}

(- 13)^{2} - 4 \cdot 5 (- 2) = 209

a_{1, 2} = \frac{- ( - 13 ) \pm 209}{2 \cdot 5}

将解分隔开

a_{1} = \frac{- ( - 13 ) + 209}{2 \cdot 5}, a_{2} = \frac{- ( - 13 ) - 209}{2 \cdot 5}

a = \frac{- ( - 13 ) + 209}{2 \cdot 5} : \frac{13 + 209}{10}

a = \frac{- ( - 13 ) - 209}{2 \cdot 5} : \frac{13 - 209}{10}

二次方程组的解是:

a = \frac{13 + 209}{10}, a = \frac{13 - 209}{10}

作图

流行的例子

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so l v e f or x, x^{2} - 6 x y - y^{2} = x - 3 x y + 1

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