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受欢迎的代数 >

x(2-x)=-2

解答

x (2 - x) = - 2

解答

x = 1 - 3, x = 1 + 3

+1

十进制

x = - 0.73205 \dots, x = 2.73205 \dots

求解步骤

x (2 - x) = - 2

展开

x (2 - x) : 2 x - x^{2}

2 x - x^{2} = - 2

将

2

para o lado esquerdo

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

改写成标准形式

a x^{2} + b x + c = 0

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

使用求根公式求解

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

2^{2} - 4 (- 1) \cdot 2 = 23

x_{1, 2} = \frac{- 2 \pm 2 3}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 2 + 2 3}{2 ( - 1 )}, x_{2} = \frac{- 2 - 2 3}{2 ( - 1 )}

x = \frac{- 2 + 2 3}{2 ( - 1 )} : 1 - 3

x = \frac{- 2 - 2 3}{2 ( - 1 )} : 1 + 3

二次方程组的解是:

x = 1 - 3, x = 1 + 3

作图

流行的例子

solvefor x,x^2-kx+1681=0

so l v e f or x, x^{2} - k x + 1681 = 0

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(x - 9)^{2} = - 36

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