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受欢迎的代数 >

1/(sqrt(x))= 2/x

解答

\frac{1}{x} = \frac{2}{x}

解答

x = 4

求解步骤

\frac{1}{x} = \frac{2}{x}

使用分式交叉相乘: 若

\frac{a}{b} = \frac{c}{d}

则

a \cdot d = b \cdot c

1 \cdot x = x \cdot 2

展开

1 \cdot x : x

x = x \cdot 2

两边进行平方:

x^{2} = 4 x

x^{2} = 4 x

解

x^{2} = 4 x : x = 4, x = 0

x = 4, x = 0

验证解:

x = 4

真

, x = 0

假

解是

x = 4

作图

流行的例子

13=sqrt(-4x-8+3)

13 = - 4 x - 8 + 3

4x=sqrt(16x^2+6x-12)

4 x = 16 x^{2} + 6 x - 12

sqrt(2x-1)-sqrt(2x-4)=3

2 x - 1 - 2 x - 4 = 3

x - 1 = 10

3 a = 49