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受欢迎的代数 >

(x+1/3)(x-1/3)= 1/3

解答

(x + \frac{1}{3}) (x - \frac{1}{3}) = \frac{1}{3}

解答

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

+1

十进制

x = 0.66666 \dots, x = - 0.66666 \dots

求解步骤

(x + \frac{1}{3}) (x - \frac{1}{3}) = \frac{1}{3}

在两边乘以

3

3 (x + \frac{1}{3}) (x - \frac{1}{3}) = 1

展开

3 (x + \frac{1}{3}) (x - \frac{1}{3}) : 3 x^{2} - \frac{1}{3}

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

将

1

para o lado esquerdo

3 x^{2} - \frac{4}{3} = 0

使用求根公式求解

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 3 ( - \frac{4}{3} )}{2 \cdot 3}

0^{2} - 4 \cdot 3 (- \frac{4}{3}) = 4

x_{1, 2} = \frac{- 0 \pm 4}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 0 + 4}{2 \cdot 3}, x_{2} = \frac{- 0 - 4}{2 \cdot 3}

x = \frac{- 0 + 4}{2 \cdot 3} : \frac{2}{3}

x = \frac{- 0 - 4}{2 \cdot 3} : - \frac{2}{3}

二次方程组的解是:

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

作图

流行的例子

x^{2} + 6 x = - x + 30

0 = 3 x^{2} + 6 x

x^{2} - 10 x + 2 = 0

(x-3)^2+x(x+2)=9

(x - 3)^{2} + x (x + 2) = 9

3x^2+112=2x^2+22x

3 x^{2} + 112 = 2 x^{2} + 22 x