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受欢迎的代数 >

-1/(sqrt(-x^2+2x))=-2

解答

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

解答

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

+1

十进制

x = 0.13397 \dots, x = 1.86602 \dots

求解步骤

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

在两边乘以

- x^{2} + 2 x

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

化简

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

交换两边

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

两边除以

- 2

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

两边进行平方:

- x^{2} + 2 x = \frac{1}{4}

- x^{2} + 2 x = \frac{1}{4}

解

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

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

验证解:

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

真

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

真

解为

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

作图

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