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受欢迎的代数 >

3x+{-5x(x+3)}=8x+(-5-9)

解答

3 x + {- 5 x (x + 3)} = 8 x + (- 5 - 9)

解答

x = - \frac{10 + 170}{5}, x = \frac{170 - 10}{5}

+1

十进制

x = - 4.60768 \dots, x = 0.60768 \dots

求解步骤

3 x + {- 5 x (x + 3)} = 8 x + (- 5 - 9)

展开

3 x + (- 5 x (x + 3)) : - 5 x^{2} - 12 x

- 5 x^{2} - 12 x = 8 x - 14

将

14

para o lado esquerdo

- 5 x^{2} - 12 x + 14 = 8 x

将

8 x

para o lado esquerdo

- 5 x^{2} - 20 x + 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 ( - 5 ) \cdot 14}{2 ( - 5 )}

(- 20)^{2} - 4 (- 5) \cdot 14 = 2170

x_{1, 2} = \frac{- ( - 20 ) \pm 2 170}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 2 170}{2 ( - 5 )}, x_{2} = \frac{- ( - 20 ) - 2 170}{2 ( - 5 )}

x = \frac{- ( - 20 ) + 2 170}{2 ( - 5 )} : - \frac{10 + 170}{5}

x = \frac{- ( - 20 ) - 2 170}{2 ( - 5 )} : \frac{170 - 10}{5}

二次方程组的解是:

x = - \frac{10 + 170}{5}, x = \frac{170 - 10}{5}

作图

流行的例子

6x^2-18x-60=108

6 x^{2} - 18 x - 60 = 108

化简 (-3/2)^5

s im pl i f y (- \frac{3}{2})^{5}

s im pl i f y \frac{5}{3 ^{3}}

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