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 >

3v^2=v+10

解答

3 v^{2} = v + 10

解答

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

+1

十进制

v = 2, v = - 1.66666 \dots

求解步骤

3 v^{2} = v + 10

将

10

para o lado esquerdo

3 v^{2} - 10 = v

将

v

para o lado esquerdo

3 v^{2} - 10 - v = 0

改写成标准形式

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

3 v^{2} - v - 10 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 10 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 10) = 11

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

将解分隔开

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

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

v = \frac{- ( - 1 ) - 11}{2 \cdot 3} : - \frac{5}{3}

二次方程组的解是:

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

作图

流行的例子

3x^2+5x-4=x^2-2x

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

x^{2} = 16 x - 56

a^{2} + 3 a - 4 = 0

因式分解 x^2+7x+6=0

f a c t or x^{2} + 7 x + 6 = 0

0 = \frac{12 - x ^{2}}{5}