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受欢迎的代数 >

x^2=4x-2

解答

x^{2} = 4 x - 2

解答

x = 2 + 2, x = 2 - 2

+1

十进制

x = 3.41421 \dots, x = 0.58578 \dots

求解步骤

x^{2} = 4 x - 2

将

2

para o lado esquerdo

x^{2} + 2 = 4 x

将

4 x

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 1 \cdot 2 = 22

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

将解分隔开

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

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

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

二次方程组的解是:

x = 2 + 2, x = 2 - 2

作图

流行的例子

5 x^{2} - 12 x - 5 = - 3 x

4 x^{2} - 7 x + 5 = 0

10 x^{2} = x + 11

completesquare 2x^2-12x

co m pl e t es q u a re 2 x^{2} - 12 x

12 x^{2} + x = 0