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受欢迎的代数 >

8.5076x^2+(-452.881)x+4293.054=0

解答

8.5076 x^{2} + (- 452.881) x + 4293.054 = 0

解答

x = \frac{452.881 + 59006.85531 \dots}{17.0152}, x = \frac{452.881 - 59006.85531 \dots}{17.0152}

+1

十进制

x = 40.89251 \dots, x = 12.34000 \dots

求解步骤

8.5076 x^{2} + (- 452.881) x + 4293.054 = 0

整理后得

8.5076 x^{2} - 452.881 x + 4293.054 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 452.881 ) \pm ( - 452.881 ) ^{2} - 4 \cdot 8.5076 \cdot 4293.054}{2 \cdot 8.5076}

(- 452.881)^{2} - 4 \cdot 8.5076 \cdot 4293.054 = 59006.85531 \dots

x_{1, 2} = \frac{- ( - 452.881 ) \pm 59006.85531 \dots}{2 \cdot 8.5076}

将解分隔开

x_{1} = \frac{- ( - 452.881 ) + 59006.85531 \dots}{2 \cdot 8.5076}, x_{2} = \frac{- ( - 452.881 ) - 59006.85531 \dots}{2 \cdot 8.5076}

x = \frac{- ( - 452.881 ) + 59006.85531 \dots}{2 \cdot 8.5076} : \frac{452.881 + 59006.85531 \dots}{17.0152}

x = \frac{- ( - 452.881 ) - 59006.85531 \dots}{2 \cdot 8.5076} : \frac{452.881 - 59006.85531 \dots}{17.0152}

二次方程组的解是:

x = \frac{452.881 + 59006.85531 \dots}{17.0152}, x = \frac{452.881 - 59006.85531 \dots}{17.0152}

作图

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