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受欢迎的代数 >

2x^2=-4x-1

解答

2 x^{2} = - 4 x - 1

解答

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

+1

十进制

x = - 0.29289 \dots, x = - 1.70710 \dots

求解步骤

2 x^{2} = - 4 x - 1

将

1

para o lado esquerdo

2 x^{2} + 1 = - 4 x

将

4 x

para o lado esquerdo

2 x^{2} + 1 + 4 x = 0

改写成标准形式

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

2 x^{2} + 4 x + 1 = 0

使用求根公式求解

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

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

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

将解分隔开

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

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

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

二次方程组的解是:

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

作图

流行的例子

3 y^{2} + 4 y - 32 = 0

0 = 2 (x - 1)^{2} - 3

solvefor x,x^2-14xy+y^2=14

so l v e f or x, x^{2} - 14 x y + y^{2} = 14

3 x^{2} = 63 x + 6

2 x^{2} + x - \frac{1}{2} = 0