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受欢迎的代数 >

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

解答

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

解答

x = 4

求解步骤

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

在两边乘以

x

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

化简

(x)^{2} - 2 = x

将

x

para o lado esquerdo

(x)^{2} - 2 - x = 0

因式分解

(x)^{2} - 2 - x : (x + 1) (x - 2)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 1 = 0 or x - 2 = 0

解

x + 1 = 0 : x \in R

无解

解

x - 2 = 0 : x = 4

x = 4

验证解:

x = 4

真

解是

x = 4

作图

流行的例子

3 x^{\frac{3}{4}} - 6 = 0

solvefor x,2sqrt(x)+y=2

so l v e f or x, 2 x + y = 2

x + 1 = 3 x^{\frac{1}{3}}

b/(4sqrt(b-8)-3)=17

\frac{b}{4 b - 8 - 3} = 17

2x-1/(x^{1/2)}=0

2 x - \frac{1}{x ^{\frac{1}{2}}} = 0