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受欢迎的代数 >

(x)=2x^2+3x+4

解答

(x) = 2 x^{2} + 3 x + 4

解答

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

求解步骤

(x) = 2 x^{2} + 3 x + 4

整理后得

x = 2 x^{2} + 3 x + 4

交换两边

2 x^{2} + 3 x + 4 = x

将

x

para o lado esquerdo

2 x^{2} + 2 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 2 \cdot 4}{2 \cdot 2}

化简

2^{2} - 4 \cdot 2 \cdot 4 : 27 i

x_{1, 2} = \frac{- 2 \pm 2 7 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 2 + 2 7 i}{2 \cdot 2}, x_{2} = \frac{- 2 - 2 7 i}{2 \cdot 2}

x = \frac{- 2 + 2 7 i}{2 \cdot 2} : - \frac{1}{2} + i \frac{7}{2}

x = \frac{- 2 - 2 7 i}{2 \cdot 2} : - \frac{1}{2} - i \frac{7}{2}

二次方程组的解是:

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

作图

流行的例子

15 - 2 x^{2} = 3 x

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