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)/3-(x(x-1))/4-1=(x^2-1)

解答

\frac{x ^{2}}{3} - \frac{x ( x - 1 )}{4} - 1 = (x^{2} - 1)

解答

x = 0, x = \frac{3}{11}

+1

十进制

x = 0, x = 0.27272 \dots

求解步骤

\frac{x ^{2}}{3} - \frac{x ( x - 1 )}{4} - 1 = (x^{2} - 1)

找到

3, 4

的最小公倍数:

12

乘以最小公倍数=

12

\frac{x ^{2}}{3} \cdot 12 - \frac{x ( x - 1 )}{4} \cdot 12 - 1 \cdot 12 = (x^{2} - 1) \cdot 12

化简

4 x^{2} - 3 x (x - 1) - 12 = 12 (x^{2} - 1)

展开

4 x^{2} - 3 x (x - 1) - 12 : x^{2} + 3 x - 12

展开

12 (x^{2} - 1) : 12 x^{2} - 12

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

将

12

para o lado esquerdo

x^{2} + 3 x = 12 x^{2}

将

12 x^{2}

para o lado esquerdo

- 11 x^{2} + 3 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 11 ) \cdot 0}{2 ( - 11 )}

3^{2} - 4 (- 11) \cdot 0 = 3

x_{1, 2} = \frac{- 3 \pm 3}{2 ( - 11 )}

将解分隔开

x_{1} = \frac{- 3 + 3}{2 ( - 11 )}, x_{2} = \frac{- 3 - 3}{2 ( - 11 )}

x = \frac{- 3 + 3}{2 ( - 11 )} : 0

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

二次方程组的解是:

x = 0, x = \frac{3}{11}

作图

流行的例子

3x^2-1=4λx,-y=2λx,x^2+y^2=1

3 x^{2} - 1 = 4 λ x, - y = 2 λ x, x^{2} + y^{2} = 1

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

- x^{2} + 2 x + 9 = 0

d^{2} = 50 - 23 d

0 = - \frac{1}{5} x^{2} - 10