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受欢迎的代数 >

-1/4 x^2+1/2 x+1/2 =0

解答

- \frac{1}{4} x^{2} + \frac{1}{2} x + \frac{1}{2} = 0

解答

x = 1 - 3, x = 1 + 3

+1

十进制

x = - 0.73205 \dots, x = 2.73205 \dots

求解步骤

- \frac{1}{4} x^{2} + \frac{1}{2} x + \frac{1}{2} = 0

找到

4, 2

的最小公倍数:

4

乘以最小公倍数=

4

- \frac{1}{4} x^{2} \cdot 4 + \frac{1}{2} x \cdot 4 + \frac{1}{2} \cdot 4 = 0 \cdot 4

化简

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

使用求根公式求解

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

2^{2} - 4 (- 1) \cdot 2 = 23

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

将解分隔开

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

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

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

二次方程组的解是:

x = 1 - 3, x = 1 + 3

作图

流行的例子

12 x^{2} - 6 x = 0

7 X^{2} = 98

(x - 2)^{2} - 43 = 21

7 x^{2} = 98

2 x^{2} - 14 x = 0