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受欢迎的代数 >

x^2+4x+52=0

解答

x^{2} + 4 x + 52 = 0

解答

x = - 2 + 43 i, x = - 2 - 43 i

求解步骤

x^{2} + 4 x + 52 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 1 \cdot 52}{2 \cdot 1}

化简

4^{2} - 4 \cdot 1 \cdot 52 : 83 i

x_{1, 2} = \frac{- 4 \pm 8 3 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 + 8 3 i}{2 \cdot 1}, x_{2} = \frac{- 4 - 8 3 i}{2 \cdot 1}

x = \frac{- 4 + 8 3 i}{2 \cdot 1} : - 2 + 43 i

x = \frac{- 4 - 8 3 i}{2 \cdot 1} : - 2 - 43 i

二次方程组的解是:

x = - 2 + 43 i, x = - 2 - 43 i

作图

流行的例子

x^2+1.8x-0.225=0

x^{2} + 1.8 x - 0.225 = 0

x = (2 - x)^{2}

solvefor y,x^3+x^2y+4y^2=6

so l v e f or y, x^{3} + x^{2} y + 4 y^{2} = 6

2 x^{2} + 4 = 3 x + 9

3x^2-(-4x+7)=2x^2+5x-9

3 x^{2} - (- 4 x + 7) = 2 x^{2} + 5 x - 9