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受欢迎的代数 >

(2x+1)^2-(x-3)^2=0

解答

(2 x + 1)^{2} - (x - 3)^{2} = 0

解答

x = \frac{2}{3}, x = - 4

+1

十进制

x = 0.66666 \dots, x = - 4

求解步骤

(2 x + 1)^{2} - (x - 3)^{2} = 0

展开

(2 x + 1)^{2} - (x - 3)^{2} : 3 x^{2} + 10 x - 8

3 x^{2} + 10 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

1 0^{2} - 4 \cdot 3 (- 8) = 14

x_{1, 2} = \frac{- 10 \pm 14}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 10 + 14}{2 \cdot 3}, x_{2} = \frac{- 10 - 14}{2 \cdot 3}

x = \frac{- 10 + 14}{2 \cdot 3} : \frac{2}{3}

x = \frac{- 10 - 14}{2 \cdot 3} : - 4

二次方程组的解是:

x = \frac{2}{3}, x = - 4

作图

流行的例子

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5 x^{2} - 17 x + 11 = 0

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

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75 x^{2} + 291600 x + 1944 = 2244

- y^{2} + 10 y - 24 = 0