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受欢迎的代数 >

x^2+22x=8x-53

解答

x^{2} + 22 x = 8 x - 53

解答

x = - 7 + 2 i, x = - 7 - 2 i

求解步骤

x^{2} + 22 x = 8 x - 53

将

53

para o lado esquerdo

x^{2} + 22 x + 53 = 8 x

将

8 x

para o lado esquerdo

x^{2} + 14 x + 53 = 0

使用求根公式求解

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 53}{2 \cdot 1}

化简

1 4^{2} - 4 \cdot 1 \cdot 53 : 4 i

x_{1, 2} = \frac{- 14 \pm 4 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 14 + 4 i}{2 \cdot 1}, x_{2} = \frac{- 14 - 4 i}{2 \cdot 1}

x = \frac{- 14 + 4 i}{2 \cdot 1} : - 7 + 2 i

x = \frac{- 14 - 4 i}{2 \cdot 1} : - 7 - 2 i

二次方程组的解是:

x = - 7 + 2 i, x = - 7 - 2 i

作图

流行的例子

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\frac{x ( x + 1 )}{2} = 120

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x^{2} + (x + 5)^{2} = 5 + 16 (3 - x)

x^{2} + 4 = 13