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受欢迎的代数 >

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

解答

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

解答

x = \frac{19 + 1}{6}, x = \frac{- 19 + 1}{6}

+1

十进制

x = 0.89314 \dots, x = - 0.55981 \dots

求解步骤

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

将

3

到右边

6 x^{2} - 2 x = 3

两边除以

6

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

x^{2} - \frac{x}{3} = \frac{1}{2}

改写为形式

(x + a)^{2} = b

(x - \frac{1}{6})^{2} = \frac{19}{36}

若

f^{2} (x) = a

，解为

f (x) = a, - a

解

x - \frac{1}{6} = \frac{19}{36} : x = \frac{19 + 1}{6}

解

x - \frac{1}{6} = - \frac{19}{36} : x = \frac{- 19 + 1}{6}

二次方程组的解是:

x = \frac{19 + 1}{6}, x = \frac{- 19 + 1}{6}

作图

流行的例子

3 x^{2} - 11 = 7

2 x^{2} + x + 0.5 = 0

5 x + x^{2} = 0

(1 - x) (1 - x) - 1 = 0

solvefor X,X^2-Y^2+4Y-4=0

so l v e f or X, X^{2} - Y^{2} + 4 Y - 4 = 0