0.5867x^2-88x-2100=0

解答

0.5867 x^{2} - 88 x - 2100 = 0

x = \frac{88 + 12672.28}{1.1734}, x = \frac{88 - 12672.28}{1.1734}

十进制

x = 170.93167 \dots, x = - 20.94019 \dots

求解步骤

0.5867 x^{2} - 88 x - 2100 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 88 ) \pm ( - 88 ) ^{2} - 4 \cdot 0.5867 ( - 2100 )}{2 \cdot 0.5867}

(- 88)^{2} - 4 \cdot 0.5867 (- 2100) = 12672.28

x_{1, 2} = \frac{- ( - 88 ) \pm 12672.28}{2 \cdot 0.5867}

将解分隔开

x_{1} = \frac{- ( - 88 ) + 12672.28}{2 \cdot 0.5867}, x_{2} = \frac{- ( - 88 ) - 12672.28}{2 \cdot 0.5867}

x = \frac{- ( - 88 ) + 12672.28}{2 \cdot 0.5867} : \frac{88 + 12672.28}{1.1734}

x = \frac{- ( - 88 ) - 12672.28}{2 \cdot 0.5867} : \frac{88 - 12672.28}{1.1734}

二次方程组的解是:

x = \frac{88 + 12672.28}{1.1734}, x = \frac{88 - 12672.28}{1.1734}

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