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受欢迎的代数 >

-3x^2-8x+7=0

解答

- 3 x^{2} - 8 x + 7 = 0

解答

x = - \frac{4 + 37}{3}, x = \frac{37 - 4}{3}

+1

十进制

x = - 3.36092 \dots, x = 0.69425 \dots

求解步骤

- 3 x^{2} - 8 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 3 ) \cdot 7}{2 ( - 3 )}

(- 8)^{2} - 4 (- 3) \cdot 7 = 237

x_{1, 2} = \frac{- ( - 8 ) \pm 2 37}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 37}{2 ( - 3 )}, x_{2} = \frac{- ( - 8 ) - 2 37}{2 ( - 3 )}

x = \frac{- ( - 8 ) + 2 37}{2 ( - 3 )} : - \frac{4 + 37}{3}

x = \frac{- ( - 8 ) - 2 37}{2 ( - 3 )} : \frac{37 - 4}{3}

二次方程组的解是:

x = - \frac{4 + 37}{3}, x = \frac{37 - 4}{3}

作图

流行的例子

2 r^{2} - 11 r + 5 = 0

x^{2} - 10 + 9 = 0

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-3(4x-16)(20+10x)=0

- 3 (4 x - 16) (20 + 10 x) = 0

- 10 + 2 n^{2} = - 2