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受欢迎的代数 >

0.169=1.5476x^2-2.238x+0.8057

解答

0.169 = 1.5476 x^{2} - 2.238 x + 0.8057

解答

x = \frac{2.238 + 1.06721632}{3.0952}, x = \frac{2.238 - 1.06721632}{3.0952}

+1

十进制

x = 1.05681 \dots, x = 0.38929 \dots

求解步骤

0.169 = 1.5476 x^{2} - 2.238 x + 0.8057

交换两边

1.5476 x^{2} - 2.238 x + 0.8057 = 0.169

将

0.169

para o lado esquerdo

1.5476 x^{2} - 2.238 x + 0.6367 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2.238 ) \pm ( - 2.238 ) ^{2} - 4 \cdot 1.5476 \cdot 0.6367}{2 \cdot 1.5476}

(- 2.238)^{2} - 4 \cdot 1.5476 \cdot 0.6367 = 1.06721632

x_{1, 2} = \frac{- ( - 2.238 ) \pm 1.06721632}{2 \cdot 1.5476}

将解分隔开

x_{1} = \frac{- ( - 2.238 ) + 1.06721632}{2 \cdot 1.5476}, x_{2} = \frac{- ( - 2.238 ) - 1.06721632}{2 \cdot 1.5476}

x = \frac{- ( - 2.238 ) + 1.06721632}{2 \cdot 1.5476} : \frac{2.238 + 1.06721632}{3.0952}

x = \frac{- ( - 2.238 ) - 1.06721632}{2 \cdot 1.5476} : \frac{2.238 - 1.06721632}{3.0952}

二次方程组的解是:

x = \frac{2.238 + 1.06721632}{3.0952}, x = \frac{2.238 - 1.06721632}{3.0952}

作图

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