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受欢迎的代数 >

x^2+4x+49=0

解答

x^{2} + 4 x + 49 = 0

解答

x = - 2 + 35 i, x = - 2 - 35 i

求解步骤

x^{2} + 4 x + 49 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot 49}{2 \cdot 1}

化简

4^{2} - 4 \cdot 1 \cdot 49 : 65 i

x_{1, 2} = \frac{- 4 \pm 6 5 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 + 6 5 i}{2 \cdot 1}, x_{2} = \frac{- 4 - 6 5 i}{2 \cdot 1}

x = \frac{- 4 + 6 5 i}{2 \cdot 1} : - 2 + 35 i

x = \frac{- 4 - 6 5 i}{2 \cdot 1} : - 2 - 35 i

二次方程组的解是:

x = - 2 + 35 i, x = - 2 - 35 i

作图

流行的例子

solvefor x,x^2+y^2=-25

so l v e f or x, x^{2} + y^{2} = - 25

(2x-1)^{(2)}-5(2x-1)-6=0

(2 x - 1)^{(2)} - 5 (2 x - 1) - 6 = 0

- 6 = (2 x - 4)^{2} - 10

(7 x + 4)^{2} = 48

3x^2+5x=7(x^2+x)

3 x^{2} + 5 x = 7 (x^{2} + x)