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受欢迎的代数 >

0.1x^2+100x+8=1000

解答

0.1 x^{2} + 100 x + 8 = 1000

解答

x = 4 (575 - 125), x = - 4 (125 + 575)

+1

十进制

x = 9.82349 \dots, x = - 1009.82349 \dots

求解步骤

0.1 x^{2} + 100 x + 8 = 1000

在两边乘以

10

x^{2} + 1000 x + 80 = 10000

将

10000

para o lado esquerdo

x^{2} + 1000 x - 9920 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot ( - 9920 )}{2 \cdot 1}

100 0^{2} - 4 \cdot 1 \cdot (- 9920) = 4565

x_{1, 2} = \frac{- 1000 \pm 456 5}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 1000 + 456 5}{2 \cdot 1}, x_{2} = \frac{- 1000 - 456 5}{2 \cdot 1}

x = \frac{- 1000 + 456 5}{2 \cdot 1} : 4 (575 - 125)

x = \frac{- 1000 - 456 5}{2 \cdot 1} : - 4 (125 + 575)

二次方程组的解是:

x = 4 (575 - 125), x = - 4 (125 + 575)

作图

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