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受欢迎的代数 >

2.3x^2-15x-3.1=0

解答

2.3 x^{2} - 15 x - 3.1 = 0

解答

x = \frac{75 + 6338}{23}, x = \frac{75 - 6338}{23}

+1

十进制

x = 6.72224 \dots, x = - 0.20050 \dots

求解步骤

2.3 x^{2} - 15 x - 3.1 = 0

在两边乘以

10

23 x^{2} - 150 x - 31 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 150 ) \pm ( - 150 ) ^{2} - 4 \cdot 23 ( - 31 )}{2 \cdot 23}

(- 150)^{2} - 4 \cdot 23 (- 31) = 26338

x_{1, 2} = \frac{- ( - 150 ) \pm 2 6338}{2 \cdot 23}

将解分隔开

x_{1} = \frac{- ( - 150 ) + 2 6338}{2 \cdot 23}, x_{2} = \frac{- ( - 150 ) - 2 6338}{2 \cdot 23}

x = \frac{- ( - 150 ) + 2 6338}{2 \cdot 23} : \frac{75 + 6338}{23}

x = \frac{- ( - 150 ) - 2 6338}{2 \cdot 23} : \frac{75 - 6338}{23}

二次方程组的解是:

x = \frac{75 + 6338}{23}, x = \frac{75 - 6338}{23}

作图

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