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受欢迎的代数 >

18=0.5527x^2-8.5491x+47.273

解答

18 = 0.5527 x^{2} - 8.5491 x + 47.273

解答

x = \frac{8.5491 + 8.37036241}{1.1054}, x = \frac{8.5491 - 8.37036241}{1.1054}

+1

十进制

x = 10.35123 \dots, x = 5.11664 \dots

求解步骤

18 = 0.5527 x^{2} - 8.5491 x + 47.273

交换两边

0.5527 x^{2} - 8.5491 x + 47.273 = 18

将

18

para o lado esquerdo

0.5527 x^{2} - 8.5491 x + 29.273 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8.5491 ) \pm ( - 8.5491 ) ^{2} - 4 \cdot 0.5527 \cdot 29.273}{2 \cdot 0.5527}

(- 8.5491)^{2} - 4 \cdot 0.5527 \cdot 29.273 = 8.37036241

x_{1, 2} = \frac{- ( - 8.5491 ) \pm 8.37036241}{2 \cdot 0.5527}

将解分隔开

x_{1} = \frac{- ( - 8.5491 ) + 8.37036241}{2 \cdot 0.5527}, x_{2} = \frac{- ( - 8.5491 ) - 8.37036241}{2 \cdot 0.5527}

x = \frac{- ( - 8.5491 ) + 8.37036241}{2 \cdot 0.5527} : \frac{8.5491 + 8.37036241}{1.1054}

x = \frac{- ( - 8.5491 ) - 8.37036241}{2 \cdot 0.5527} : \frac{8.5491 - 8.37036241}{1.1054}

二次方程组的解是:

x = \frac{8.5491 + 8.37036241}{1.1054}, x = \frac{8.5491 - 8.37036241}{1.1054}

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