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受欢迎的代数 >

2ax-x^2=-4a^2

解答

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

解答

x = - (5 - 1) a, x = (1 + 5) a

求解步骤

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

将

4 a^{2}

para o lado esquerdo

2 a x - x^{2} + 4 a^{2} = 0

改写成标准形式

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

- x^{2} + 2 a x + 4 a^{2} = 0

使用求根公式求解

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

化简

(2 a)^{2} - 4 (- 1) \cdot 4 a^{2} : 25 a

x_{1, 2} = \frac{- 2 a \pm 2 5 a}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 2 a + 2 5 a}{2 ( - 1 )}, x_{2} = \frac{- 2 a - 2 5 a}{2 ( - 1 )}

x = \frac{- 2 a + 2 5 a}{2 ( - 1 )} : - (5 - 1) a

x = \frac{- 2 a - 2 5 a}{2 ( - 1 )} : (1 + 5) a

二次方程组的解是:

x = - (5 - 1) a, x = (1 + 5) a

作图

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