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受欢迎的代数 >

9.08=0.001(0.723x^2+15.418x+607.733)

解答

9.08 = 0.001 (0.723 x^{2} + 15.418 x + 607.733)

解答

x = \frac{- 0.015418 + 0.02473 \dots}{0.001446}, x = \frac{- 0.015418 - 0.02473 \dots}{0.001446}

+1

十进制

x = 98.11202 \dots, x = - 119.43705 \dots

求解步骤

9.08 = 0.001 (0.723 x^{2} + 15.418 x + 607.733)

展开

0.001 (0.723 x^{2} + 15.418 x + 607.733) : 0.000723 x^{2} + 0.015418 x + 0.607733

9.08 = 0.000723 x^{2} + 0.015418 x + 0.607733

交换两边

0.000723 x^{2} + 0.015418 x + 0.607733 = 9.08

将

9.08

para o lado esquerdo

0.000723 x^{2} + 0.015418 x - 8.472267 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0.015418 \pm 0.01541 8 ^{2} - 4 \cdot 0.000723 ( - 8.472267 )}{2 \cdot 0.000723}

0.01541 8^{2} - 4 \cdot 0.000723 (- 8.472267) = 0.02473 \dots

x_{1, 2} = \frac{- 0.015418 \pm 0.02473 \dots}{2 \cdot 0.000723}

将解分隔开

x_{1} = \frac{- 0.015418 + 0.02473 \dots}{2 \cdot 0.000723}, x_{2} = \frac{- 0.015418 - 0.02473 \dots}{2 \cdot 0.000723}

x = \frac{- 0.015418 + 0.02473 \dots}{2 \cdot 0.000723} : \frac{- 0.015418 + 0.02473 \dots}{0.001446}

x = \frac{- 0.015418 - 0.02473 \dots}{2 \cdot 0.000723} : \frac{- 0.015418 - 0.02473 \dots}{0.001446}

二次方程组的解是:

x = \frac{- 0.015418 + 0.02473 \dots}{0.001446}, x = \frac{- 0.015418 - 0.02473 \dots}{0.001446}

作图

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