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受欢迎的代数 >

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

解答

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

解答

x = 0, x = - 4

求解步骤

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

展开

4 (x + 1)^{2} : 4 x^{2} + 8 x + 4

展开

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

4 x^{2} + 8 x + 4 = x^{2} - 4 x + 4

将

4

para o lado esquerdo

4 x^{2} + 8 x = x^{2} - 4 x

将

4 x

para o lado esquerdo

4 x^{2} + 12 x = x^{2}

将

x^{2}

para o lado esquerdo

3 x^{2} + 12 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

1 2^{2} - 4 \cdot 3 \cdot 0 = 12

x_{1, 2} = \frac{- 12 \pm 12}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 12 + 12}{2 \cdot 3}, x_{2} = \frac{- 12 - 12}{2 \cdot 3}

x = \frac{- 12 + 12}{2 \cdot 3} : 0

x = \frac{- 12 - 12}{2 \cdot 3} : - 4

二次方程组的解是:

x = 0, x = - 4

作图

流行的例子

2 x^{2} - 4 = 3 x

(3 x - 1) (2 x + 3) = 8

2 m^{2} + m = 1

1.5 t^{2} - 6 t + 3 = 0

t^{2} - t - 6 = 4 (t - 3)