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 >

(x-2)^2=5-(x-1)^2

解答

(x - 2)^{2} = 5 - (x - 1)^{2}

解答

x = 3, x = 0

求解步骤

(x - 2)^{2} = 5 - (x - 1)^{2}

展开

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

展开

5 - (x - 1)^{2} : - x^{2} + 2 x + 4

x^{2} - 4 x + 4 = - x^{2} + 2 x + 4

将

4

para o lado esquerdo

x^{2} - 4 x = - x^{2} + 2 x

将

2 x

para o lado esquerdo

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

将

x^{2}

para o lado esquerdo

2 x^{2} - 6 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 6)^{2} - 4 \cdot 2 \cdot 0 = 6

x_{1, 2} = \frac{- ( - 6 ) \pm 6}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 6}{2 \cdot 2}, x_{2} = \frac{- ( - 6 ) - 6}{2 \cdot 2}

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

x = \frac{- ( - 6 ) - 6}{2 \cdot 2} : 0

二次方程组的解是:

x = 3, x = 0

作图

流行的例子

4.7 x^{2} + 9 x = 0

x^{2} + 4 x = 100

solvefor x,3x-5y=4x^2y^2

so l v e f or x, 3 x - 5 y = 4 x^{2} y^{2}

- 3 x^{2} + 6 x + 12 = 0

14n^2+12n+3=6n^2+4n+7

14 n^{2} + 12 n + 3 = 6 n^{2} + 4 n + 7