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受欢迎的代数 >

根 x^2+x+4

解答

根

x^{2} + x + 4

解答

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

求解步骤

x^{2} + x + 4

根与 X 轴相交

(y = 0)

x^{2} + x + 4 = 0

使用求根公式求解

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

化简

1^{2} - 4 \cdot 1 \cdot 4 : 15 i

x_{1, 2} = \frac{- 1 \pm 15 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 1 + 15 i}{2 \cdot 1}, x_{2} = \frac{- 1 - 15 i}{2 \cdot 1}

x = \frac{- 1 + 15 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{15}{2}

x = \frac{- 1 - 15 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{15}{2}

二次方程组的解是:

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

作图

流行的例子

3 x^{2} - 5 x^{2} = 0

4 x^{2} + 18 x - 70 = 0

3 x^{2} + 12 x = 12

solvefor y,3x^2-3y^2=0

so l v e f or y, 3 x^{2} - 3 y^{2} = 0

x^{2} = 2 mod 7