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受欢迎的代数 >

100x^{-4}-29x^{-2}+1=0

解答

100 x^{- 4} - 29 x^{- 2} + 1 = 0

解答

x = 5, x = - 5, x = 2, x = - 2

求解步骤

100 x^{- 4} - 29 x^{- 2} + 1 = 0

整理后得

\frac{100}{x ^{4}} - \frac{29}{x ^{2}} + 1 = 0

乘以最小公倍数

100 - 29 x^{2} + x^{4} = 0

解

100 - 29 x^{2} + x^{4} = 0 : x = 5, x = - 5, x = 2, x = - 2

x = 5, x = - 5, 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 = 5, x = - 5, x = 2, x = - 2

作图

流行的例子

(6x-12)/(x-2)=6

\frac{6 x - 12}{x - 2} = 6

(15)/(7x-4)= 1/(2x+3)

\frac{15}{7 x - 4} = \frac{1}{2 x + 3}

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

0 = \frac{1}{2 x}

solvefor x, m/x =p-n

so l v e f or x, \frac{m}{x} = p - n