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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/(x)+1/(x+5) = 1/(x+2.5) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x ) + 1 ÷ ( x + 5) = 1 ÷ ( x +
5
2
)
     Multiply both sides of the equation by:( x ) ,  ( x +
5
2
)
     1( x +
5
2
) + 1 ÷ ( x + 5) × ( x )( x +
5
2
) = 1( x )
    Remove a bracket on the left of the equation::
     1 x + 1 ×
5
2
+ 1 ÷ ( x + 5) × ( x )( x +
5
2
) = 1( x )
    Remove a bracket on the right of the equation::
     1 x + 1 ×
5
2
+ 1 ÷ ( x + 5) × ( x )( x +
5
2
) = 1 x
    The equation is reduced to :
     1 x +
5
2
+ 1 ÷ ( x + 5) × ( x )( x +
5
2
) = 1 x
     Multiply both sides of the equation by:( x + 5)
     1 x ( x + 5) +
5
2
( x + 5) + 1( x )( x +
5
2
) = 1 x ( x + 5)
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 5 +
5
2
( x + 5) + 1( x )( x +
5
2
) = 1 x ( x + 5)
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 5 +
5
2
( x + 5) + 1( x )( x +
5
2
) = 1 x x + 1 x × 5
    The equation is reduced to :
     1 x x + 5 x +
5
2
( x + 5) + 1( x )( x +
5
2
) = 1 x x + 5 x
    Remove a bracket on the left of the equation:
     1 x x + 5 x +
5
2
x +
5
2
× 5 + 1( x )( x +
5
2
) = 1 x x + 5 x
    The equation is reduced to :
     1 x x + 5 x +
5
2
x +
25
2
+ 1( x )( x +
5
2
) = 1 x x + 5 x
    The equation is reduced to :
     1 x x +
15
2
x +
25
2
+ 1( x )( x +
5
2
) = 1 x x + 5 x
    Remove a bracket on the left of the equation:
     1 x x +
15
2
x +
25
2
+ 1 x ( x +
5
2
) = 1 x x + 5 x
    Remove a bracket on the left of the equation:
     1 x x +
15
2
x +
25
2
+ 1 x x + 1 x ×
5
2
= 1 x x + 5 x
    The equation is reduced to :
     1 x x +
15
2
x +
25
2
+ 1 x x +
5
2
x = 1 x x + 5 x
    The equation is reduced to :
     1 x x + 10 x +
25
2
+ 1 x x = 1 x x + 5 x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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