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受欢迎的代数 >

5x^2-8x-(3x^2)/4 =0

解答

5 x^{2} - 8 x - \frac{3 x ^{2}}{4} = 0

解答

x = \frac{32}{17}, x = 0

+1

十进制

x = 1.88235 \dots, x = 0

求解步骤

5 x^{2} - 8 x - \frac{3 x ^{2}}{4} = 0

在两边乘以

4

20 x^{2} - 32 x - 3 x^{2} = 0

17 x^{2} - 32 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 32 ) \pm ( - 32 ) ^{2} - 4 \cdot 17 \cdot 0}{2 \cdot 17}

(- 32)^{2} - 4 \cdot 17 \cdot 0 = 32

x_{1, 2} = \frac{- ( - 32 ) \pm 32}{2 \cdot 17}

将解分隔开

x_{1} = \frac{- ( - 32 ) + 32}{2 \cdot 17}, x_{2} = \frac{- ( - 32 ) - 32}{2 \cdot 17}

x = \frac{- ( - 32 ) + 32}{2 \cdot 17} : \frac{32}{17}

x = \frac{- ( - 32 ) - 32}{2 \cdot 17} : 0

二次方程组的解是:

x = \frac{32}{17}, x = 0

作图

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