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受欢迎的代数 >

y=0.00249(1-(0.5714-2000y)/(-2))^2

解答

y = 0.00249 (1 - \frac{0.5714 - 2000 y}{- 2})^{2}

解答

y = \frac{29.611144 + 220.889152}{19920}, y = \frac{29.611144 - 220.889152}{19920}

+1

十进制

y = 0.00223 \dots, y = 0.00074 \dots

求解步骤

y = 0.00249 (1 - \frac{0.5714 - 2000 y}{- 2})^{2}

展开

0.00249 (1 - \frac{0.5714 - 2000 y}{- 2})^{2} : 0.003912786 + 2490 y^{2} - \frac{25.611144 y}{4} + \frac{0.00081 \dots}{4}

y = 0.003912786 + 2490 y^{2} - \frac{25.611144 y}{4} + \frac{0.00081 \dots}{4}

交换两边

0.003912786 + 2490 y^{2} - \frac{25.611144 y}{4} + \frac{0.00081 \dots}{4} = y

将

y

para o lado esquerdo

0.003912786 + \frac{9960 y ^{2} - 29.611144 y + 0.00081 \dots}{4} = 0

两边除以

2490

\frac{0.003912786}{2490} + \frac{\frac{9960 y ^{2} - 29.611144 y + 0.00081 \dots}{4}}{2490} = \frac{0}{2490}

改写成标准形式

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

y^{2} - \frac{29.611144 y}{9960} + \frac{0.003912786}{2490} + \frac{0.00081 \dots}{9960} = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - \frac{29.611144}{9960} ) \pm ( - \frac{29.611144}{9960} ) ^{2} - 4 \cdot 1 \cdot ( \frac{0.003912786}{2490} + \frac{0.00081 \dots}{9960} )}{2 \cdot 1}

(- \frac{29.611144}{9960})^{2} - 4 \cdot 1 \cdot (\frac{0.003912786}{2490} + \frac{0.00081 \dots}{9960}) = \frac{220.889152}{9960}

y_{1, 2} = \frac{- ( - \frac{29.611144}{9960} ) \pm \frac{220.889152}{9960}}{2 \cdot 1}

将解分隔开

y_{1} = \frac{- ( - \frac{29.611144}{9960} ) + \frac{220.889152}{9960}}{2 \cdot 1}, y_{2} = \frac{- ( - \frac{29.611144}{9960} ) - \frac{220.889152}{9960}}{2 \cdot 1}

y = \frac{- ( - \frac{29.611144}{9960} ) + \frac{220.889152}{9960}}{2 \cdot 1} : \frac{29.611144 + 220.889152}{19920}

y = \frac{- ( - \frac{29.611144}{9960} ) - \frac{220.889152}{9960}}{2 \cdot 1} : \frac{29.611144 - 220.889152}{19920}

二次方程组的解是:

y = \frac{29.611144 + 220.889152}{19920}, y = \frac{29.611144 - 220.889152}{19920}

作图

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