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受欢迎的代数 >

20-x= 1/324 x^2+1

解答

20 - x = \frac{1}{324} x^{2} + 1

解答

x = 18, x = - 342

求解步骤

20 - x = \frac{1}{324} x^{2} + 1

在两边乘以

324

6480 - 324 x = x^{2} + 324

交换两边

x^{2} + 324 = 6480 - 324 x

将

324 x

para o lado esquerdo

x^{2} + 324 + 324 x = 6480

将

6480

para o lado esquerdo

x^{2} + 324 x - 6156 = 0

使用求根公式求解

x_{1, 2} = \frac{- 324 \pm 32 4 ^{2} - 4 \cdot 1 \cdot ( - 6156 )}{2 \cdot 1}

32 4^{2} - 4 \cdot 1 \cdot (- 6156) = 360

x_{1, 2} = \frac{- 324 \pm 360}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 324 + 360}{2 \cdot 1}, x_{2} = \frac{- 324 - 360}{2 \cdot 1}

x = \frac{- 324 + 360}{2 \cdot 1} : 18

x = \frac{- 324 - 360}{2 \cdot 1} : - 342

二次方程组的解是:

x = 18, x = - 342

作图

流行的例子

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