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受欢迎的代数 >

3v^2=7v+6

解答

3 v^{2} = 7 v + 6

解答

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

+1

十进制

v = 3, v = - 0.66666 \dots

求解步骤

3 v^{2} = 7 v + 6

将

6

para o lado esquerdo

3 v^{2} - 6 = 7 v

将

7 v

para o lado esquerdo

3 v^{2} - 6 - 7 v = 0

改写成标准形式

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

3 v^{2} - 7 v - 6 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 6 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 6) = 11

v_{1, 2} = \frac{- ( - 7 ) \pm 11}{2 \cdot 3}

将解分隔开

v_{1} = \frac{- ( - 7 ) + 11}{2 \cdot 3}, v_{2} = \frac{- ( - 7 ) - 11}{2 \cdot 3}

v = \frac{- ( - 7 ) + 11}{2 \cdot 3} : 3

v = \frac{- ( - 7 ) - 11}{2 \cdot 3} : - \frac{2}{3}

二次方程组的解是:

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

作图

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