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受欢迎的代数 >

(3x-1)^2-(5x-3)^2=-(4x-2)^2

解答

(3 x - 1)^{2} - (5 x - 3)^{2} = - (4 x - 2)^{2}

解答

x = \frac{1}{2}

+1

十进制

x = 0.5

求解步骤

(3 x - 1)^{2} - (5 x - 3)^{2} = - (4 x - 2)^{2}

展开

(3 x - 1)^{2} - (5 x - 3)^{2} : - 16 x^{2} + 24 x - 8

展开

- (4 x - 2)^{2} : - 16 x^{2} + 16 x - 4

- 16 x^{2} + 24 x - 8 = - 16 x^{2} + 16 x - 4

将

8

到右边

- 16 x^{2} + 24 x = - 16 x^{2} + 16 x + 4

两边减去

- 16 x^{2} + 16 x

- 16 x^{2} + 24 x - (- 16 x^{2} + 16 x) = - 16 x^{2} + 16 x + 4 - (- 16 x^{2} + 16 x)

化简

8 x = 4

两边除以

8

x = \frac{1}{2}

作图

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