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受欢迎的代数 >

6m^2-20=9m

解答

6 m^{2} - 20 = 9 m

解答

m = \frac{9 + 561}{12}, m = \frac{9 - 561}{12}

+1

十进制

m = 2.72378 \dots, m = - 1.22378 \dots

求解步骤

6 m^{2} - 20 = 9 m

将

9 m

para o lado esquerdo

6 m^{2} - 20 - 9 m = 0

改写成标准形式

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

6 m^{2} - 9 m - 20 = 0

使用求根公式求解

m_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 6 ( - 20 )}{2 \cdot 6}

(- 9)^{2} - 4 \cdot 6 (- 20) = 561

m_{1, 2} = \frac{- ( - 9 ) \pm 561}{2 \cdot 6}

将解分隔开

m_{1} = \frac{- ( - 9 ) + 561}{2 \cdot 6}, m_{2} = \frac{- ( - 9 ) - 561}{2 \cdot 6}

m = \frac{- ( - 9 ) + 561}{2 \cdot 6} : \frac{9 + 561}{12}

m = \frac{- ( - 9 ) - 561}{2 \cdot 6} : \frac{9 - 561}{12}

二次方程组的解是:

m = \frac{9 + 561}{12}, m = \frac{9 - 561}{12}

作图

流行的例子

b^{2} - 24 = - 5 b

9 x^{2} - 7 x - 2 = 0

3 z^{2} - 30 = 0

x^{2} + 11 = 3

x^{2} = \frac{16}{25}