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受欢迎的代数 >

completesquare 2x^2-6x+3=0

解答

2 x^{2} - 6 x + 3 = 0

解答

x = \frac{3 + 3}{2}, x = \frac{- 3 + 3}{2}

+1

十进制

x = 2.36602 \dots, x = 0.63397 \dots

求解步骤

2 x^{2} - 6 x + 3 = 0

将

3

到右边

2 x^{2} - 6 x = - 3

两边除以

2

\frac{2 x ^{2} - 6 x}{2} = \frac{- 3}{2}

x^{2} - 3 x = - \frac{3}{2}

改写为形式

(x + a)^{2} = b

(x - \frac{3}{2})^{2} = \frac{3}{4}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - \frac{3}{2} = \frac{3}{4} : x = \frac{3 + 3}{2}

解

x - \frac{3}{2} = - \frac{3}{4} : x = \frac{- 3 + 3}{2}

二次方程组的解是:

x = \frac{3 + 3}{2}, x = \frac{- 3 + 3}{2}

作图

流行的例子

0.2(2x-6)(8x-6)=0

0.2 (2 x - 6) (8 x - 6) = 0

solvefor x,y+5xy=x^2

so l v e f or x, y + 5 x y = x^{2}

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

5 + x = 3 x^{2}

p^{2} - 3 p + 2 = 0