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受欢迎的代数 >

(1.1610^2)(0.8571-x)(0.5714-x)-2x^2=0

解答

(1.16 \cdot 1 0^{2}) \cdot (0.8571 - x) (0.5714 - x) - 2 x^{2} = 0

解答

x = \frac{165.706 + 1552.82429 \dots}{228}, x = \frac{165.706 - 1552.82429 \dots}{228}

+1

十进制

x = 0.89961 \dots, x = 0.55394 \dots

求解步骤

(1.16 \cdot 1 0^{2}) (0.8571 - x) (0.5714 - x) - 2 x^{2} = 0

展开

(1.16 \cdot 1 0^{2}) (0.8571 - x) (0.5714 - x) - 2 x^{2} : 56.81064 \dots - 165.706 x + 114 x^{2}

56.81064 \dots - 165.706 x + 114 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

114 x^{2} - 165.706 x + 56.81064 \dots = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 165.706 ) \pm ( - 165.706 ) ^{2} - 4 \cdot 114 \cdot 56.81064 \dots}{2 \cdot 114}

(- 165.706)^{2} - 4 \cdot 114 \cdot 56.81064 \dots = 1552.82429 \dots

x_{1, 2} = \frac{- ( - 165.706 ) \pm 1552.82429 \dots}{2 \cdot 114}

将解分隔开

x_{1} = \frac{- ( - 165.706 ) + 1552.82429 \dots}{2 \cdot 114}, x_{2} = \frac{- ( - 165.706 ) - 1552.82429 \dots}{2 \cdot 114}

x = \frac{- ( - 165.706 ) + 1552.82429 \dots}{2 \cdot 114} : \frac{165.706 + 1552.82429 \dots}{228}

x = \frac{- ( - 165.706 ) - 1552.82429 \dots}{2 \cdot 114} : \frac{165.706 - 1552.82429 \dots}{228}

二次方程组的解是:

x = \frac{165.706 + 1552.82429 \dots}{228}, x = \frac{165.706 - 1552.82429 \dots}{228}

作图

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