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受欢迎的代数 >

2x-x^2+3=0

解答

2 x - x^{2} + 3 = 0

解答

x = - 1, x = 3

求解步骤

2 x - x^{2} + 3 = 0

改写成标准形式

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

- x^{2} + 2 x + 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 1 ) \cdot 3}{2 ( - 1 )}

2^{2} - 4 (- 1) \cdot 3 = 4

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

将解分隔开

x_{1} = \frac{- 2 + 4}{2 ( - 1 )}, x_{2} = \frac{- 2 - 4}{2 ( - 1 )}

x = \frac{- 2 + 4}{2 ( - 1 )} : - 1

x = \frac{- 2 - 4}{2 ( - 1 )} : 3

二次方程组的解是:

x = - 1, x = 3

作图

流行的例子

5 x + 3 = 4 x^{2}

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3 x^{2} - 160 x + 1600 = 0

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\frac{309}{16} xx + \frac{43}{12} = \frac{73}{12}

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