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受欢迎的代数 >

y=0.00249(1-(1.197-1100y)/(-2))^2

解答

y = 0.00249 (1 - \frac{1.197 - 1100 y}{- 2})^{2}

解答

y = \frac{5.3782915 + 9.756583}{1506.45}, y = \frac{5.3782915 - 9.756583}{1506.45}

+1

十进制

y = 0.00564 \dots, y = 0.00149 \dots

求解步骤

y = 0.00249 (1 - \frac{1.197 - 1100 y}{- 2})^{2}

展开

0.00249 (1 - \frac{1.197 - 1100 y}{- 2})^{2} : 0.00547053 + \frac{3012.9 y ^{2}}{4} - \frac{17.513166 y}{4} + \frac{0.00356 \dots}{4}

y = 0.00547053 + \frac{3012.9 y ^{2}}{4} - \frac{17.513166 y}{4} + \frac{0.00356 \dots}{4}

交换两边

0.00547053 + \frac{3012.9 y ^{2}}{4} - \frac{17.513166 y}{4} + \frac{0.00356 \dots}{4} = y

将

y

para o lado esquerdo

0.00547053 + \frac{3012.9 y ^{2} - 21.513166 y + 0.00356 \dots}{4} = 0

改写成标准形式

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

753.225 y^{2} - 5.3782915 y + 0.00636 \dots = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 5.3782915 ) \pm ( - 5.3782915 ) ^{2} - 4 \cdot 753.225 \cdot 0.00636 \dots}{2 \cdot 753.225}

(- 5.3782915)^{2} - 4 \cdot 753.225 \cdot 0.00636 \dots = 9.756583

y_{1, 2} = \frac{- ( - 5.3782915 ) \pm 9.756583}{2 \cdot 753.225}

将解分隔开

y_{1} = \frac{- ( - 5.3782915 ) + 9.756583}{2 \cdot 753.225}, y_{2} = \frac{- ( - 5.3782915 ) - 9.756583}{2 \cdot 753.225}

y = \frac{- ( - 5.3782915 ) + 9.756583}{2 \cdot 753.225} : \frac{5.3782915 + 9.756583}{1506.45}

y = \frac{- ( - 5.3782915 ) - 9.756583}{2 \cdot 753.225} : \frac{5.3782915 - 9.756583}{1506.45}

二次方程组的解是:

y = \frac{5.3782915 + 9.756583}{1506.45}, y = \frac{5.3782915 - 9.756583}{1506.45}

作图

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