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受欢迎的代数 >

x^2=(2x+1)^2

解答

x^{2} = (2 x + 1)^{2}

解答

x = - \frac{1}{3}, x = - 1

+1

十进制

x = - 0.33333 \dots, x = - 1

求解步骤

x^{2} = (2 x + 1)^{2}

展开

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

x^{2} = 4 x^{2} + 4 x + 1

交换两边

4 x^{2} + 4 x + 1 = x^{2}

将

x^{2}

para o lado esquerdo

3 x^{2} + 4 x + 1 = 0

使用求根公式求解

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

4^{2} - 4 \cdot 3 \cdot 1 = 2

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

将解分隔开

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

x = \frac{- 4 + 2}{2 \cdot 3} : - \frac{1}{3}

x = \frac{- 4 - 2}{2 \cdot 3} : - 1

二次方程组的解是:

x = - \frac{1}{3}, x = - 1

作图

流行的例子

8 x^{2} - 120 x = 0

x^{2} + 8 x - 24 = 0

x^{2} + 7 x + 6 = 14

4 y^{2} + 8 y + 3 = 0

3 x^{2} - 9 x - 1 = 0