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受欢迎的代数 >

((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0

解答

(\frac{x ^{2} + 1}{( x ^{2} )}) - 5 (\frac{x + 1}{x}) + 6 = 0

解答

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

+1

十进制

x = 2.28077 \dots, x = 0.21922 \dots

求解步骤

(\frac{x ^{2} + 1}{( x ^{2} )}) - 5 (\frac{x + 1}{x}) + 6 = 0

乘以最小公倍数

7 x^{2} - 5 x (x + 1) + 1 = 0

解

7 x^{2} - 5 x (x + 1) + 1 = 0 : x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

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 = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

作图

流行的例子

1.87=((1-2p)^2)/(((1+p)*(2p)^2))

1.87 = \frac{( 1 - 2 p ) ^{2}}{( ( 1 + p ) \cdot ( 2 p ) ^{2} )}

1/(3+x)=(5+x)/6

\frac{1}{3 + x} = \frac{5 + x}{6}

ln(9)=(-36*10^{10})/x

ln (9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

\frac{y - 1}{3 y} = 4

solvefor x,a=((2x+f))/((x-2f))

so l v e f or x, a = \frac{( 2 x + f )}{( x - 2 f )}