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受欢迎的代数 >

-0.447x^2-36.342x+393.078=0

解答

- 0.447 x^{2} - 36.342 x + 393.078 = 0

解答

x = - \frac{36342 + 3634 2 ^{2} + 702823464}{894}, x = \frac{3634 2 ^{2} + 702823464 - 36342}{894}

+1

十进制

x = - 90.96873 \dots, x = 9.66671 \dots

求解步骤

- 0.447 x^{2} - 36.342 x + 393.078 = 0

在两边乘以

1000

- 447 x^{2} - 36342 x + 393078 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 36342 ) \pm ( - 36342 ) ^{2} - 4 ( - 447 ) \cdot 393078}{2 ( - 447 )}

(- 36342)^{2} - 4 (- 447) \cdot 393078 = 3634 2^{2} + 702823464

x_{1, 2} = \frac{- ( - 36342 ) \pm 3634 2 ^{2} + 702823464}{2 ( - 447 )}

将解分隔开

x_{1} = \frac{- ( - 36342 ) + 3634 2 ^{2} + 702823464}{2 ( - 447 )}, x_{2} = \frac{- ( - 36342 ) - 3634 2 ^{2} + 702823464}{2 ( - 447 )}

x = \frac{- ( - 36342 ) + 3634 2 ^{2} + 702823464}{2 ( - 447 )} : - \frac{36342 + 3634 2 ^{2} + 702823464}{894}

x = \frac{- ( - 36342 ) - 3634 2 ^{2} + 702823464}{2 ( - 447 )} : \frac{3634 2 ^{2} + 702823464 - 36342}{894}

二次方程组的解是:

x = - \frac{36342 + 3634 2 ^{2} + 702823464}{894}, x = \frac{3634 2 ^{2} + 702823464 - 36342}{894}

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