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受欢迎的代数 >

(x)=2600+2x+0.001x^2

解答

(x) = 2600 + 2 x + 0.001 x^{2}

解答

x = - 500 + 100235 i, x = - 500 - 100235 i

求解步骤

(x) = 2600 + 2 x + 0.001 x^{2}

在两边乘以

1000

x \cdot 1000 = 2600000 + 2000 x + x^{2}

交换两边

2600000 + 2000 x + x^{2} = x \cdot 1000

将

x 1000

para o lado esquerdo

x^{2} + 1000 x + 2600000 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot 2600000}{2 \cdot 1}

化简

100 0^{2} - 4 \cdot 1 \cdot 2600000 : 200235 i

x_{1, 2} = \frac{- 1000 \pm 200 235 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 1000 + 200 235 i}{2 \cdot 1}, x_{2} = \frac{- 1000 - 200 235 i}{2 \cdot 1}

x = \frac{- 1000 + 200 235 i}{2 \cdot 1} : - 500 + 100235 i

x = \frac{- 1000 - 200 235 i}{2 \cdot 1} : - 500 - 100235 i

二次方程组的解是:

x = - 500 + 100235 i, x = - 500 - 100235 i

作图

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