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受欢迎的代数 >

x^2+32x+116=12x

解答

x^{2} + 32 x + 116 = 12 x

解答

x = - 10 + 4 i, x = - 10 - 4 i

求解步骤

x^{2} + 32 x + 116 = 12 x

将

12 x

para o lado esquerdo

x^{2} + 20 x + 116 = 0

使用求根公式求解

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 1 \cdot 116}{2 \cdot 1}

化简

2 0^{2} - 4 \cdot 1 \cdot 116 : 8 i

x_{1, 2} = \frac{- 20 \pm 8 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 20 + 8 i}{2 \cdot 1}, x_{2} = \frac{- 20 - 8 i}{2 \cdot 1}

x = \frac{- 20 + 8 i}{2 \cdot 1} : - 10 + 4 i

x = \frac{- 20 - 8 i}{2 \cdot 1} : - 10 - 4 i

二次方程组的解是:

x = - 10 + 4 i, x = - 10 - 4 i

作图

流行的例子

2 x^{2} + 2 x + 32 = 0

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

solvefor y,-16y^2+9z^2=0

so l v e f or y, - 16 y^{2} + 9 z^{2} = 0

125 x^{2} + 50 x - 5 = 0

solvefor t,x=t^2+t

so l v e f or t, x = t^{2} + t