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-7)^2+2x^2-29=(x-3)(x+5)-15x+50

解答

(x - 7)^{2} + 2 x^{2} - 29 = (x - 3) (x + 5) - 15 x + 50

解答

x = 3, x = - \frac{5}{2}

+1

十进制

x = 3, x = - 2.5

求解步骤

(x - 7)^{2} + 2 x^{2} - 29 = (x - 3) (x + 5) - 15 x + 50

展开

(x - 7)^{2} + 2 x^{2} - 29 : 3 x^{2} - 14 x + 20

展开

(x - 3) (x + 5) - 15 x + 50 : x^{2} - 13 x + 35

3 x^{2} - 14 x + 20 = x^{2} - 13 x + 35

将

35

para o lado esquerdo

3 x^{2} - 14 x - 15 = x^{2} - 13 x

将

13 x

para o lado esquerdo

3 x^{2} - x - 15 = x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} - x - 15 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 ( - 15 )}{2 \cdot 2}

(- 1)^{2} - 4 \cdot 2 (- 15) = 11

x_{1, 2} = \frac{- ( - 1 ) \pm 11}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 11}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 11}{2 \cdot 2}

x = \frac{- ( - 1 ) + 11}{2 \cdot 2} : 3

x = \frac{- ( - 1 ) - 11}{2 \cdot 2} : - \frac{5}{2}

二次方程组的解是:

x = 3, x = - \frac{5}{2}

作图

流行的例子

x^{2} + 1.41 x + 1 = 0

x^2+10=-7x^2-39

x^{2} + 10 = - 7 x^{2} - 39

7 x^{2} - 1 = 0

x (x + 3) = 18

solvefor x,-(x^2)/6-(y^2)/6+(z^2)/6 =1

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