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受欢迎的代数 >

2x^{-2}=1

解答

2 x^{- 2} = 1

解答

x = 2, x = - 2

+1

十进制

x = 1.41421 \dots, x = - 1.41421 \dots

求解步骤

2 x^{- 2} = 1

整理后得

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

在两边乘以

x^{2}

2 = x^{2}

解

2 = x^{2} : x = 2, x = - 2

x = 2, x = - 2

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = 2, x = - 2

作图

流行的例子

(31)/(3(1+2x))=(51)/(2(2x-1))

\frac{31}{3 ( 1 + 2 x )} = \frac{51}{2 ( 2 x - 1 )}

3750=(1225}{(0.289+\frac{0.1)/x)}

3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

3/((x-4))= 2/((x-3))+8/((x^2-7x+12))

\frac{3}{( x - 4 )} = \frac{2}{( x - 3 )} + \frac{8}{( x ^{2} - 7 x + 12 )}

solvefor x, 2/((x+2y))+1/((2x-y))+5/9 =0

so l v e f or x, \frac{2}{( x + 2 y )} + \frac{1}{( 2 x - y )} + \frac{5}{9} = 0

((n+1)!)/((n+3)!)=600

\frac{( n + 1 ) !}{( n + 3 ) !} = 600