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受欢迎的代数 >

x^2+6x+279/4 =0

解答

x^{2} + 6 x + \frac{279}{4} = 0

解答

x = - 3 + i \frac{9 3}{2}, x = - 3 - i \frac{9 3}{2}

求解步骤

x^{2} + 6 x + \frac{279}{4} = 0

在两边乘以

4

4 x^{2} + 24 x + 279 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 4 \cdot 279}{2 \cdot 4}

化简

2 4^{2} - 4 \cdot 4 \cdot 279 : 363 i

x_{1, 2} = \frac{- 24 \pm 36 3 i}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 24 + 36 3 i}{2 \cdot 4}, x_{2} = \frac{- 24 - 36 3 i}{2 \cdot 4}

x = \frac{- 24 + 36 3 i}{2 \cdot 4} : - 3 + i \frac{9 3}{2}

x = \frac{- 24 - 36 3 i}{2 \cdot 4} : - 3 - i \frac{9 3}{2}

二次方程组的解是:

x = - 3 + i \frac{9 3}{2}, x = - 3 - i \frac{9 3}{2}

作图

流行的例子

24 x^{2} - 4 x = 0

- 3 x^{2} + 7 x = - 10

(x + 6) (x + 1) = 36

(b - \frac{1}{3})^{2} = \frac{4}{9}

- x^{2} - 4 x - 8 = 0