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受欢迎的代数 >

2x-4=2x^2

解答

2 x - 4 = 2 x^{2}

解答

x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

求解步骤

2 x - 4 = 2 x^{2}

交换两边

2 x^{2} = 2 x - 4

将

4

para o lado esquerdo

2 x^{2} + 4 = 2 x

将

2 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

化简

(- 2)^{2} - 4 \cdot 2 \cdot 4 : 27 i

x_{1, 2} = \frac{- ( - 2 ) \pm 2 7 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 7 i}{2 \cdot 2}, x_{2} = \frac{- ( - 2 ) - 2 7 i}{2 \cdot 2}

x = \frac{- ( - 2 ) + 2 7 i}{2 \cdot 2} : \frac{1}{2} + i \frac{7}{2}

x = \frac{- ( - 2 ) - 2 7 i}{2 \cdot 2} : \frac{1}{2} - i \frac{7}{2}

二次方程组的解是:

x = \frac{1}{2} + i \frac{7}{2}, x = \frac{1}{2} - i \frac{7}{2}

作图

流行的例子

10 x^{2} + 22 x + 4 = 0

solvefor a,b^3-3ab^2-2a^2b=o

so l v e f or a, b^{3} - 3 a b^{2} - 2 a^{2} b = o

- 4 x^{2} - 16 x - 19 = 0

solvefor y,x=9-y^2

so l v e f or y, x = 9 - y^{2}

12 x^{2} + 12 = 25 x