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受欢迎的代数 >

5s^2=11s+12

解答

5 s^{2} = 11 s + 12

解答

s = 3, s = - \frac{4}{5}

+1

十进制

s = 3, s = - 0.8

求解步骤

5 s^{2} = 11 s + 12

将

12

para o lado esquerdo

5 s^{2} - 12 = 11 s

将

11 s

para o lado esquerdo

5 s^{2} - 12 - 11 s = 0

改写成标准形式

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

5 s^{2} - 11 s - 12 = 0

使用求根公式求解

s_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 5 ( - 12 )}{2 \cdot 5}

(- 11)^{2} - 4 \cdot 5 (- 12) = 19

s_{1, 2} = \frac{- ( - 11 ) \pm 19}{2 \cdot 5}

将解分隔开

s_{1} = \frac{- ( - 11 ) + 19}{2 \cdot 5}, s_{2} = \frac{- ( - 11 ) - 19}{2 \cdot 5}

s = \frac{- ( - 11 ) + 19}{2 \cdot 5} : 3

s = \frac{- ( - 11 ) - 19}{2 \cdot 5} : - \frac{4}{5}

二次方程组的解是:

s = 3, s = - \frac{4}{5}

作图

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