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受欢迎的代数 >

(185)(130-x)=(266.67)(45-x)^2

解答

(185) (130 - x) = (266.67) (45 - x)^{2}

解答

x = \frac{23815.3 + 2 4201942}{533.34}, x = \frac{23815.3 - 2 4201942}{533.34}

+1

十进制

x = 52.34002 \dots, x = 36.96623 \dots

求解步骤

(185) (130 - x) = (266.67) (45 - x)^{2}

展开

(185) (130 - x) : 24050 - 185 x

展开

(266.67) (45 - x)^{2} : 540006.75 - 24000.3 x + 266.67 x^{2}

24050 - 185 x = 540006.75 - 24000.3 x + 266.67 x^{2}

交换两边

540006.75 - 24000.3 x + 266.67 x^{2} = 24050 - 185 x

将

185 x

para o lado esquerdo

266.67 x^{2} - 23815.3 x + 540006.75 = 24050

将

24050

para o lado esquerdo

266.67 x^{2} - 23815.3 x + 515956.75 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 23815.3 ) \pm ( - 23815.3 ) ^{2} - 4 \cdot 266.67 \cdot 515956.75}{2 \cdot 266.67}

(- 23815.3)^{2} - 4 \cdot 266.67 \cdot 515956.75 = 24201942

x_{1, 2} = \frac{- ( - 23815.3 ) \pm 2 4201942}{2 \cdot 266.67}

将解分隔开

x_{1} = \frac{- ( - 23815.3 ) + 2 4201942}{2 \cdot 266.67}, x_{2} = \frac{- ( - 23815.3 ) - 2 4201942}{2 \cdot 266.67}

x = \frac{- ( - 23815.3 ) + 2 4201942}{2 \cdot 266.67} : \frac{23815.3 + 2 4201942}{533.34}

x = \frac{- ( - 23815.3 ) - 2 4201942}{2 \cdot 266.67} : \frac{23815.3 - 2 4201942}{533.34}

二次方程组的解是:

x = \frac{23815.3 + 2 4201942}{533.34}, x = \frac{23815.3 - 2 4201942}{533.34}

作图

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