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受欢迎的代数 >

0.0611(1352-x)(1770-x)=x^2

解答

0.0611 (1352 - x) (1770 - x) = x^{2}

解答

x = - \frac{190.7542 + 585511.25738 \dots}{1.8778}, x = \frac{585511.25738 \dots - 190.7542}{1.8778}

+1

十进制

x = - 509.07512 \dots, x = 305.90737 \dots

求解步骤

0.0611 (1352 - x) (1770 - x) = x^{2}

展开

0.0611 (1352 - x) (1770 - x) : 146214.744 - 190.7542 x + 0.0611 x^{2}

146214.744 - 190.7542 x + 0.0611 x^{2} = x^{2}

将

x^{2}

para o lado esquerdo

146214.744 - 190.7542 x - 0.9389 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

- 0.9389 x^{2} - 190.7542 x + 146214.744 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 190.7542 ) \pm ( - 190.7542 ) ^{2} - 4 ( - 0.9389 ) \cdot 146214.744}{2 ( - 0.9389 )}

(- 190.7542)^{2} - 4 (- 0.9389) \cdot 146214.744 = 585511.25738 \dots

x_{1, 2} = \frac{- ( - 190.7542 ) \pm 585511.25738 \dots}{2 ( - 0.9389 )}

将解分隔开

x_{1} = \frac{- ( - 190.7542 ) + 585511.25738 \dots}{2 ( - 0.9389 )}, x_{2} = \frac{- ( - 190.7542 ) - 585511.25738 \dots}{2 ( - 0.9389 )}

x = \frac{- ( - 190.7542 ) + 585511.25738 \dots}{2 ( - 0.9389 )} : - \frac{190.7542 + 585511.25738 \dots}{1.8778}

x = \frac{- ( - 190.7542 ) - 585511.25738 \dots}{2 ( - 0.9389 )} : \frac{585511.25738 \dots - 190.7542}{1.8778}

二次方程组的解是:

x = - \frac{190.7542 + 585511.25738 \dots}{1.8778}, x = \frac{585511.25738 \dots - 190.7542}{1.8778}

作图

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