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受欢迎的代数 >

0.45(3.15-x)(2.14-x)=x

解答

0.45 (3.15 - x) (2.14 - x) = x

解答

x = \frac{3.3805 + 5.96757025}{0.9}, x = \frac{3.3805 - 5.96757025}{0.9}

+1

十进制

x = 6.47040 \dots, x = 1.04182 \dots

求解步骤

0.45 (3.15 - x) (2.14 - x) = x

展开

0.45 (3.15 - x) (2.14 - x) : 3.03345 - 2.3805 x + 0.45 x^{2}

3.03345 - 2.3805 x + 0.45 x^{2} = x

将

x

para o lado esquerdo

0.45 x^{2} - 3.3805 x + 3.03345 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3.3805 ) \pm ( - 3.3805 ) ^{2} - 4 \cdot 0.45 \cdot 3.03345}{2 \cdot 0.45}

(- 3.3805)^{2} - 4 \cdot 0.45 \cdot 3.03345 = 5.96757025

x_{1, 2} = \frac{- ( - 3.3805 ) \pm 5.96757025}{2 \cdot 0.45}

将解分隔开

x_{1} = \frac{- ( - 3.3805 ) + 5.96757025}{2 \cdot 0.45}, x_{2} = \frac{- ( - 3.3805 ) - 5.96757025}{2 \cdot 0.45}

x = \frac{- ( - 3.3805 ) + 5.96757025}{2 \cdot 0.45} : \frac{3.3805 + 5.96757025}{0.9}

x = \frac{- ( - 3.3805 ) - 5.96757025}{2 \cdot 0.45} : \frac{3.3805 - 5.96757025}{0.9}

二次方程组的解是:

x = \frac{3.3805 + 5.96757025}{0.9}, x = \frac{3.3805 - 5.96757025}{0.9}

作图

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