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受欢迎的代数 >

completesquare 2x^2-5x+67=0

解答

2 x^{2} - 5 x + 67 = 0

解答

x = \frac{5}{4} + i \frac{511}{4}, x = \frac{5}{4} - i \frac{511}{4}

求解步骤

2 x^{2} - 5 x + 67 = 0

将

67

到右边

2 x^{2} - 5 x = - 67

两边除以

2

\frac{2 x ^{2} - 5 x}{2} = \frac{- 67}{2}

x^{2} - \frac{5 x}{2} = - \frac{67}{2}

改写为形式

(x + a)^{2} = b

(x - \frac{5}{4})^{2} = - \frac{511}{16}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - \frac{5}{4} = - \frac{511}{16} : x = \frac{5}{4} + i \frac{511}{4}

解

x - \frac{5}{4} = - - \frac{511}{16} : x = \frac{5}{4} - i \frac{511}{4}

二次方程组的解是:

x = \frac{5}{4} + i \frac{511}{4}, x = \frac{5}{4} - i \frac{511}{4}

作图

流行的例子

3 x^{2} + 6 x = 8

x^2-1/6 x-1/6 =0

x^{2} - \frac{1}{6} x - \frac{1}{6} = 0

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

因式分解 x^2+12x+20=0

f a c t or x^{2} + 12 x + 20 = 0

-3x^2-50x-243=4x

- 3 x^{2} - 50 x - 243 = 4 x