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受欢迎的代数 >

completesquare-3x^2-18x+2=0

解答

- 3 x^{2} - 18 x + 2 = 0

解答

x = \frac{29}{3} - 3, x = - \frac{29}{3} - 3

+1

十进制

x = 0.10912 \dots, x = - 6.10912 \dots

求解步骤

- 3 x^{2} - 18 x + 2 = 0

将

2

到右边

- 3 x^{2} - 18 x = - 2

两边除以

- 3

\frac{- 3 x ^{2} - 18 x}{- 3} = \frac{- 2}{- 3}

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

改写为形式

(x + a)^{2} = b

(x + 3)^{2} = \frac{29}{3}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x + 3 = \frac{29}{3} : x = \frac{29}{3} - 3

解

x + 3 = - \frac{29}{3} : x = - \frac{29}{3} - 3

二次方程组的解是:

x = \frac{29}{3} - 3, x = - \frac{29}{3} - 3

作图

流行的例子

6x-12=-2(x+3)2+(2x+3)(x-5)

6 x - 12 = - 2 (x + 3) 2 + (2 x + 3) (x - 5)

-30-13x-15x^2=0

- 30 - 13 x - 15 x^{2} = 0

y^{2} - 12 y = 28

x^{2} - 841 = 0

6 x^{2} - 53 x = 9