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)/4+1/10 =(x^2)/5+x/2

解答

\frac{x ^{2}}{4} + \frac{1}{10} = \frac{x ^{2}}{5} + \frac{x}{2}

解答

x = 5 + 23, x = 5 - 23

+1

十进制

x = 9.79583 \dots, x = 0.20416 \dots

求解步骤

\frac{x ^{2}}{4} + \frac{1}{10} = \frac{x ^{2}}{5} + \frac{x}{2}

找到

4, 10, 5, 2

的最小公倍数:

20

乘以最小公倍数=

20

\frac{x ^{2}}{4} \cdot 20 + \frac{1}{10} \cdot 20 = \frac{x ^{2}}{5} \cdot 20 + \frac{x}{2} \cdot 20

化简

5 x^{2} + 2 = 4 x^{2} + 10 x

将

10 x

para o lado esquerdo

5 x^{2} + 2 - 10 x = 4 x^{2}

将

4 x^{2}

para o lado esquerdo

x^{2} - 10 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot 2 = 223

x_{1, 2} = \frac{- ( - 10 ) \pm 2 23}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2 23}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 23}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 23}{2 \cdot 1} : 5 + 23

x = \frac{- ( - 10 ) - 2 23}{2 \cdot 1} : 5 - 23

二次方程组的解是:

x = 5 + 23, x = 5 - 23

作图

流行的例子

2 x^{2} + 15 x - 7 = 2 x

(3x)^2-4(x+5)(x)=0

(3 x)^{2} - 4 (x + 5) (x) = 0

solvefor x,y^3-xy+x^2=1

so l v e f or x, y^{3} - x y + x^{2} = 1

0.01x^2-3x+229=429-2x

0.01 x^{2} - 3 x + 229 = 429 - 2 x

completesquare u^2+2u-1=0

co m pl e t es q u a re u^{2} + 2 u - 1 = 0