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受欢迎的代数 >

x^2+1/2 x-1/2 =0

解答

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

解答

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

+1

十进制

x = 0.5, x = - 1

求解步骤

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

在两边乘以

2

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

使用求根公式求解

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

1^{2} - 4 \cdot 2 (- 1) = 3

x_{1, 2} = \frac{- 1 \pm 3}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 1 + 3}{2 \cdot 2}, x_{2} = \frac{- 1 - 3}{2 \cdot 2}

x = \frac{- 1 + 3}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 1 - 3}{2 \cdot 2} : - 1

二次方程组的解是:

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

作图

流行的例子

因式分解 a^2-8a+7

f a c t or a^{2} - 8 a + 7

s im pl i f y - 7 + 1

x^{2} + 2 x + 6 = 0

- 0.5 (x - 4) = - x - 5

因式分解 x^2+5xy-14y^2

f a c t or x^{2} + 5 x y - 14 y^{2}