zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

(z-4)^2=(3-z)(1+2z)

解答

(z - 4)^{2} = (3 - z) (1 + 2 z)

解答

z = \frac{13 + 13}{6}, z = \frac{13 - 13}{6}

+1

十进制

z = 2.76759 \dots, z = 1.56574 \dots

求解步骤

(z - 4)^{2} = (3 - z) (1 + 2 z)

展开

(z - 4)^{2} : z^{2} - 8 z + 16

展开

(3 - z) (1 + 2 z) : 3 + 5 z - 2 z^{2}

z^{2} - 8 z + 16 = 3 + 5 z - 2 z^{2}

将

2 z^{2}

para o lado esquerdo

3 z^{2} - 8 z + 16 = 3 + 5 z

将

5 z

para o lado esquerdo

3 z^{2} - 13 z + 16 = 3

将

3

para o lado esquerdo

3 z^{2} - 13 z + 13 = 0

使用求根公式求解

z_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 3 \cdot 13}{2 \cdot 3}

(- 13)^{2} - 4 \cdot 3 \cdot 13 = 13

z_{1, 2} = \frac{- ( - 13 ) \pm 13}{2 \cdot 3}

将解分隔开

z_{1} = \frac{- ( - 13 ) + 13}{2 \cdot 3}, z_{2} = \frac{- ( - 13 ) - 13}{2 \cdot 3}

z = \frac{- ( - 13 ) + 13}{2 \cdot 3} : \frac{13 + 13}{6}

z = \frac{- ( - 13 ) - 13}{2 \cdot 3} : \frac{13 - 13}{6}

二次方程组的解是:

z = \frac{13 + 13}{6}, z = \frac{13 - 13}{6}

作图

流行的例子

y^{2} + 4 = 6 y - 4

m^{2} = - 2

m^{2} = - 4

9 x^{2} - 729 = 0

2 x^{2} + 6 x + 17 = 0