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受欢迎的代数 >

completesquare 9x^2+2x+1=0

解答

9 x^{2} + 2 x + 1 = 0

解答

x = - \frac{1}{9} + i \frac{2 2}{9}, x = - \frac{1}{9} - i \frac{2 2}{9}

求解步骤

9 x^{2} + 2 x + 1 = 0

将

1

到右边

9 x^{2} + 2 x = - 1

两边除以

9

\frac{9 x ^{2} + 2 x}{9} = \frac{- 1}{9}

x^{2} + \frac{2 x}{9} = - \frac{1}{9}

改写为形式

(x + a)^{2} = b

(x + \frac{1}{9})^{2} = - \frac{8}{81}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x + \frac{1}{9} = - \frac{8}{81} : x = - \frac{1}{9} + i \frac{2 2}{9}

解

x + \frac{1}{9} = - - \frac{8}{81} : x = - \frac{1}{9} - i \frac{2 2}{9}

二次方程组的解是:

x = - \frac{1}{9} + i \frac{2 2}{9}, x = - \frac{1}{9} - i \frac{2 2}{9}

作图

流行的例子

3 x^{2} = 14 x + 24

x^{2} - 10 x = - 57

r^{2} - 18 r = - 19

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x^{2} - 11.2 x + 31.36 = 0

6 x + 2 = 15 x^{2} + 5 x