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受欢迎的代数 >

d=0.006(1-(((1.82)-(d)(1500)))/(-3))^2

解答

d = 0.006 (1 - \frac{( ( 1.82 ) - ( d ) ( 1500 ) )}{- 3})^{2}

解答

d = \frac{10.64 + 20.28}{3000}, d = \frac{10.64 - 20.28}{3000}

+1

十进制

d = 0.00504 \dots, d = 0.00204 \dots

求解步骤

d = 0.006 (1 - \frac{( ( 1.82 ) - ( d ) ( 1500 ) )}{- 3})^{2}

展开

0.006 (1 - \frac{( 1.82 ) - ( d ) ( 1500 )}{- 3})^{2} : 1500 d^{2} - 9.64 d + 0.01548 \dots

d = 1500 d^{2} - 9.64 d + 0.01548 \dots

交换两边

1500 d^{2} - 9.64 d + 0.01548 \dots = d

将

d

para o lado esquerdo

1500 d^{2} - 10.64 d + 0.01548 \dots = 0

两边除以

1500

\frac{1500 d ^{2}}{1500} - \frac{10.64 d}{1500} + \frac{0.01548 \dots}{1500} = \frac{0}{1500}

改写成标准形式

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

d^{2} - \frac{10.64 d}{1500} + \frac{0.01548 \dots}{1500} = 0

使用求根公式求解

d_{1, 2} = \frac{- ( - \frac{10.64}{1500} ) \pm ( - \frac{10.64}{1500} ) ^{2} - 4 \cdot 1 \cdot \frac{0.01548 \dots}{1500}}{2 \cdot 1}

(- \frac{10.64}{1500})^{2} - 4 \cdot 1 \cdot \frac{0.01548 \dots}{1500} = \frac{20.28}{1500}

d_{1, 2} = \frac{- ( - \frac{10.64}{1500} ) \pm \frac{20.28}{1500}}{2 \cdot 1}

将解分隔开

d_{1} = \frac{- ( - \frac{10.64}{1500} ) + \frac{20.28}{1500}}{2 \cdot 1}, d_{2} = \frac{- ( - \frac{10.64}{1500} ) - \frac{20.28}{1500}}{2 \cdot 1}

d = \frac{- ( - \frac{10.64}{1500} ) + \frac{20.28}{1500}}{2 \cdot 1} : \frac{10.64 + 20.28}{3000}

d = \frac{- ( - \frac{10.64}{1500} ) - \frac{20.28}{1500}}{2 \cdot 1} : \frac{10.64 - 20.28}{3000}

二次方程组的解是:

d = \frac{10.64 + 20.28}{3000}, d = \frac{10.64 - 20.28}{3000}

作图

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