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 >

(9x^2)/5-(7x)/3+2=2x^2-x/2+1/3

解答

\frac{9 x ^{2}}{5} - \frac{7 x}{3} + 2 = 2 x^{2} - \frac{x}{2} + \frac{1}{3}

解答

x = - 10, x = \frac{5}{6}

+1

十进制

x = - 10, x = 0.83333 \dots

求解步骤

\frac{9 x ^{2}}{5} - \frac{7 x}{3} + 2 = 2 x^{2} - \frac{x}{2} + \frac{1}{3}

找到

5, 3, 2

的最小公倍数:

30

乘以最小公倍数=

30

\frac{9 x ^{2}}{5} \cdot 30 - \frac{7 x}{3} \cdot 30 + 2 \cdot 30 = 2 x^{2} \cdot 30 - \frac{x}{2} \cdot 30 + \frac{1}{3} \cdot 30

化简

54 x^{2} - 70 x + 60 = 60 x^{2} - 15 x + 10

将

10

para o lado esquerdo

54 x^{2} - 70 x + 50 = 60 x^{2} - 15 x

将

15 x

para o lado esquerdo

54 x^{2} - 55 x + 50 = 60 x^{2}

将

60 x^{2}

para o lado esquerdo

- 6 x^{2} - 55 x + 50 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 55 ) \pm ( - 55 ) ^{2} - 4 ( - 6 ) \cdot 50}{2 ( - 6 )}

(- 55)^{2} - 4 (- 6) \cdot 50 = 65

x_{1, 2} = \frac{- ( - 55 ) \pm 65}{2 ( - 6 )}

将解分隔开

x_{1} = \frac{- ( - 55 ) + 65}{2 ( - 6 )}, x_{2} = \frac{- ( - 55 ) - 65}{2 ( - 6 )}

x = \frac{- ( - 55 ) + 65}{2 ( - 6 )} : - 10

x = \frac{- ( - 55 ) - 65}{2 ( - 6 )} : \frac{5}{6}

二次方程组的解是:

x = - 10, x = \frac{5}{6}

作图

流行的例子

2 x^{2} + 9 x = 8

solvefor b,a^2=b^2+9.2

so l v e f or b, a^{2} = b^{2} + 9.2

u^{2} - 3 u + 1 = 0

solvefor x,((z-4)^2)/4-(y^2)/3-3x^2=1

so l v e f or x, \frac{( z - 4 ) ^{2}}{4} - \frac{y ^{2}}{3} - 3 x^{2} = 1

completesquare x^2-3x-18

co m pl e t es q u a re x^{2} - 3 x - 18