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受欢迎的代数 >

2a-a^2=3

解答

2 a - a^{2} = 3

解答

a = 1 - 2 i, a = 1 + 2 i

求解步骤

2 a - a^{2} = 3

将

3

para o lado esquerdo

2 a - a^{2} - 3 = 0

改写成标准形式

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

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

使用求根公式求解

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

化简

2^{2} - 4 (- 1) (- 3) : 22 i

a_{1, 2} = \frac{- 2 \pm 2 2 i}{2 ( - 1 )}

将解分隔开

a_{1} = \frac{- 2 + 2 2 i}{2 ( - 1 )}, a_{2} = \frac{- 2 - 2 2 i}{2 ( - 1 )}

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

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

二次方程组的解是:

a = 1 - 2 i, a = 1 + 2 i

作图

流行的例子

r^{2} + 9 r + 65 = - r

b^{2} + 8 = 33

2 (2 x + 1) = x (x + 5)

x^{2} + (x - 1)^{2} = 5

2*(2x+1)=x*(x+5)

2 \cdot (2 x + 1) = x \cdot (x + 5)