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受欢迎的代数 >

6x^2-14x-98=0

解答

6 x^{2} - 14 x - 98 = 0

解答

x = \frac{7 ( 1 + 13 )}{6}, x = \frac{7 ( 1 - 13 )}{6}

+1

十进制

x = 5.37314 \dots, x = - 3.03980 \dots

求解步骤

6 x^{2} - 14 x - 98 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 6 ( - 98 )}{2 \cdot 6}

(- 14)^{2} - 4 \cdot 6 (- 98) = 1413

x_{1, 2} = \frac{- ( - 14 ) \pm 14 13}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 14 13}{2 \cdot 6}, x_{2} = \frac{- ( - 14 ) - 14 13}{2 \cdot 6}

x = \frac{- ( - 14 ) + 14 13}{2 \cdot 6} : \frac{7 ( 1 + 13 )}{6}

x = \frac{- ( - 14 ) - 14 13}{2 \cdot 6} : \frac{7 ( 1 - 13 )}{6}

二次方程组的解是:

x = \frac{7 ( 1 + 13 )}{6}, x = \frac{7 ( 1 - 13 )}{6}

作图

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