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受欢迎的代数 >

3(6m-17)m=5

解答

3 (6 m - 17) m = 5

解答

m = \frac{17 + 329}{12}, m = \frac{17 - 329}{12}

+1

十进制

m = 2.92819 \dots, m = - 0.09486 \dots

求解步骤

3 (6 m - 17) m = 5

展开

3 (6 m - 17) m : 18 m^{2} - 51 m

18 m^{2} - 51 m = 5

将

5

para o lado esquerdo

18 m^{2} - 51 m - 5 = 0

使用求根公式求解

m_{1, 2} = \frac{- ( - 51 ) \pm ( - 51 ) ^{2} - 4 \cdot 18 ( - 5 )}{2 \cdot 18}

(- 51)^{2} - 4 \cdot 18 (- 5) = 3329

m_{1, 2} = \frac{- ( - 51 ) \pm 3 329}{2 \cdot 18}

将解分隔开

m_{1} = \frac{- ( - 51 ) + 3 329}{2 \cdot 18}, m_{2} = \frac{- ( - 51 ) - 3 329}{2 \cdot 18}

m = \frac{- ( - 51 ) + 3 329}{2 \cdot 18} : \frac{17 + 329}{12}

m = \frac{- ( - 51 ) - 3 329}{2 \cdot 18} : \frac{17 - 329}{12}

二次方程组的解是:

m = \frac{17 + 329}{12}, m = \frac{17 - 329}{12}

作图

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