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 >

eln(e)(x^2-3)=2x

解答

e ln (e) (x^{2} - 3) = 2 x

解答

x = \frac{2 + 4 + 12 e ^{2}}{2 e}, x = \frac{2 - 4 + 12 e ^{2}}{2 e}

+1

十进制

x = 2.13856 \dots, x = - 1.40280 \dots

求解步骤

e ln (e) (x^{2} - 3) = 2 x

展开

e ln (e) (x^{2} - 3) : e x^{2} - 3 e

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

将

2 x

para o lado esquerdo

e x^{2} - 3 e - 2 x = 0

改写成标准形式

a x^{2} + b x + c = 0

e x^{2} - 2 x - 3 e = 0

使用求根公式求解

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

(- 2)^{2} - 4 e (- 3 e) = 4 + 12 e^{2}

x_{1, 2} = \frac{- ( - 2 ) \pm 4 + 12 e ^{2}}{2 e}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 4 + 12 e ^{2}}{2 e}, x_{2} = \frac{- ( - 2 ) - 4 + 12 e ^{2}}{2 e}

x = \frac{- ( - 2 ) + 4 + 12 e ^{2}}{2 e} : \frac{2 + 4 + 12 e ^{2}}{2 e}

x = \frac{- ( - 2 ) - 4 + 12 e ^{2}}{2 e} : \frac{2 - 4 + 12 e ^{2}}{2 e}

二次方程组的解是:

x = \frac{2 + 4 + 12 e ^{2}}{2 e}, x = \frac{2 - 4 + 12 e ^{2}}{2 e}

作图

流行的例子

x/6+(x^2)/2 =2 x/3

\frac{x}{6} + \frac{x ^{2}}{2} = 2 \frac{x}{3}

solvefor x,x^2+2y^2-y-2z=0

so l v e f or x, x^{2} + 2 y^{2} - y - 2 z = 0

solvefor a,(a+b)1+a^2=c^6

so l v e f or a, (a + b) 1 + a^{2} = c^{6}

solvefor k,p^2+q^2=k^2

so l v e f or k, p^{2} + q^{2} = k^{2}

(k-12)*x^2+2(k-12)*x+2=0

(k - 12) \cdot x^{2} + 2 (k - 12) \cdot x + 2 = 0