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受欢迎的代数 >

3(3x-2)=(x+4)(4-x)

解答

3 (3 x - 2) = (x + 4) (4 - x)

解答

x = - 11, x = 2

求解步骤

3 (3 x - 2) = (x + 4) (4 - x)

展开

3 (3 x - 2) : 9 x - 6

展开

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

9 x - 6 = 16 - x^{2}

交换两边

16 - x^{2} = 9 x - 6

将

6

para o lado esquerdo

- x^{2} + 22 = 9 x

将

9 x

para o lado esquerdo

- x^{2} + 22 - 9 x = 0

改写成标准形式

a x^{2} + b x + c = 0

- x^{2} - 9 x + 22 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 ( - 1 ) \cdot 22}{2 ( - 1 )}

(- 9)^{2} - 4 (- 1) \cdot 22 = 13

x_{1, 2} = \frac{- ( - 9 ) \pm 13}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 13}{2 ( - 1 )}, x_{2} = \frac{- ( - 9 ) - 13}{2 ( - 1 )}

x = \frac{- ( - 9 ) + 13}{2 ( - 1 )} : - 11

x = \frac{- ( - 9 ) - 13}{2 ( - 1 )} : 2

二次方程组的解是:

x = - 11, x = 2

作图

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s im pl i f y \frac{18 x ^{8} y ^{8}}{10 x ^{3}}

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f a c t or x^{2 - 6 x + 8}

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