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受欢迎的代数 >

-3x^2-0.75x+6=0

解答

- 3 x^{2} - 0.75 x + 6 = 0

解答

x = - \frac{1 + 129}{8}, x = \frac{129 - 1}{8}

+1

十进制

x = - 1.54472 \dots, x = 1.29472 \dots

求解步骤

- 3 x^{2} - 0.75 x + 6 = 0

在两边乘以

100

- 300 x^{2} - 75 x + 600 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 75 ) \pm ( - 75 ) ^{2} - 4 ( - 300 ) \cdot 600}{2 ( - 300 )}

(- 75)^{2} - 4 (- 300) \cdot 600 = 75129

x_{1, 2} = \frac{- ( - 75 ) \pm 75 129}{2 ( - 300 )}

将解分隔开

x_{1} = \frac{- ( - 75 ) + 75 129}{2 ( - 300 )}, x_{2} = \frac{- ( - 75 ) - 75 129}{2 ( - 300 )}

x = \frac{- ( - 75 ) + 75 129}{2 ( - 300 )} : - \frac{1 + 129}{8}

x = \frac{- ( - 75 ) - 75 129}{2 ( - 300 )} : \frac{129 - 1}{8}

二次方程组的解是:

x = - \frac{1 + 129}{8}, x = \frac{129 - 1}{8}

作图

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