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受欢迎的代数 >

5/x-1/((x+2))=1

解答

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

解答

x = 1 + 11, x = 1 - 11

+1

十进制

x = 4.31662 \dots, x = - 2.31662 \dots

求解步骤

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

乘以最小公倍数

5 (x + 2) - x = x (x + 2)

解

5 (x + 2) - x = x (x + 2) : x = 1 + 11, x = 1 - 11

x = 1 + 11, x = 1 - 11

验证解

找到无定义的点（奇点）:

x = 0, x = - 2

将不在定义域的点与解相综合:

x = 1 + 11, x = 1 - 11

作图

流行的例子

52= n/(2[2(-8)+(n-1)(-2)])

52 = \frac{n}{2 [ 2 ( - 8 ) + ( n - 1 ) ( - 2 ) ]}

((x^2-2x-2))/(((x^2+2)^2))=0

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

5.4=(x^2)/(((2-x)^2))

5.4 = \frac{x ^{2}}{( ( 2 - x ) ^{2} )}

(-(28q^2+57q-144)*1)/((2q^3))=q-6

\frac{- ( 28 q ^{2} + 57 q - 144 ) \cdot 1}{( 2 q ^{3} )} = q - 6

(n!)/((n-2)!)=240

\frac{n !}{( n - 2 ) !} = 240