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受欢迎的代数 >

(x)=5x^2-900x+1200000

解答

(x) = 5 x^{2} - 900 x + 1200000

解答

x = \frac{901}{10} + i \frac{23188199}{10}, x = \frac{901}{10} - i \frac{23188199}{10}

求解步骤

(x) = 5 x^{2} - 900 x + 1200000

整理后得

x = 5 x^{2} - 900 x + 1200000

交换两边

5 x^{2} - 900 x + 1200000 = x

将

x

para o lado esquerdo

5 x^{2} - 901 x + 1200000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 901 ) \pm ( - 901 ) ^{2} - 4 \cdot 5 \cdot 1200000}{2 \cdot 5}

化简

(- 901)^{2} - 4 \cdot 5 \cdot 1200000 : 23188199 i

x_{1, 2} = \frac{- ( - 901 ) \pm 23188199 i}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- ( - 901 ) + 23188199 i}{2 \cdot 5}, x_{2} = \frac{- ( - 901 ) - 23188199 i}{2 \cdot 5}

x = \frac{- ( - 901 ) + 23188199 i}{2 \cdot 5} : \frac{901}{10} + i \frac{23188199}{10}

x = \frac{- ( - 901 ) - 23188199 i}{2 \cdot 5} : \frac{901}{10} - i \frac{23188199}{10}

二次方程组的解是:

x = \frac{901}{10} + i \frac{23188199}{10}, x = \frac{901}{10} - i \frac{23188199}{10}

作图

流行的例子

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