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受欢迎的代数 >

2x^2-(3x)/2+1/4 =0

解答

2 x^{2} - \frac{3 x}{2} + \frac{1}{4} = 0

解答

x = \frac{1}{2}, x = \frac{1}{4}

+1

十进制

x = 0.5, x = 0.25

求解步骤

2 x^{2} - \frac{3 x}{2} + \frac{1}{4} = 0

找到

2, 4

的最小公倍数:

4

乘以最小公倍数=

4

2 x^{2} \cdot 4 - \frac{3 x}{2} \cdot 4 + \frac{1}{4} \cdot 4 = 0 \cdot 4

化简

8 x^{2} - 6 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 8 \cdot 1}{2 \cdot 8}

(- 6)^{2} - 4 \cdot 8 \cdot 1 = 2

x_{1, 2} = \frac{- ( - 6 ) \pm 2}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2}{2 \cdot 8}, x_{2} = \frac{- ( - 6 ) - 2}{2 \cdot 8}

x = \frac{- ( - 6 ) + 2}{2 \cdot 8} : \frac{1}{2}

x = \frac{- ( - 6 ) - 2}{2 \cdot 8} : \frac{1}{4}

二次方程组的解是:

x = \frac{1}{2}, x = \frac{1}{4}

作图

流行的例子

5/3 x^2+10x+30=0

\frac{5}{3} x^{2} + 10 x + 30 = 0

(40-x)(20+2x)=1200

(40 - x) (20 + 2 x) = 1200

x (x + 1) - 19 = 2 x + 1

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

6 4^{2} = 2 x^{2}