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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation 10000/x+10000/(x+102*0.1) = 20000/(124+99*0.1) .
    Question type: Equation
    Solution:Original question:
     10000 ÷ x + 10000 ÷ ( x + 102 ×
1
10
) = 20000 ÷ (124 + 99 ×
1
10
)
     Multiply both sides of the equation by: x  ,  (124 + 99 ×
1
10
)
     10000(124 + 99 ×
1
10
) + 10000 ÷ ( x + 102 ×
1
10
) × x (124 + 99 ×
1
10
) = 20000 x
    Remove a bracket on the left of the equation::
     10000 × 124 + 10000 × 99 ×
1
10
+ 10000 ÷ ( x + 102 ×
1
10
) × x (124 + 99 ×
1
10
) = 20000 x
    The equation is reduced to :
     1240000 + 99000 + 10000 ÷ ( x + 102 ×
1
10
) × x (124 + 99 ×
1
10
) = 20000 x
    The equation is reduced to :
     1339000 + 10000 ÷ ( x + 102 ×
1
10
) × x (124 + 99 ×
1
10
) = 20000 x
     Multiply both sides of the equation by:( x + 102 ×
1
10
)
     1339000( x + 102 ×
1
10
) + 10000 x (124 + 99 ×
1
10
) = 20000 x ( x + 102 ×
1
10
)
    Remove a bracket on the left of the equation:
     1339000 x + 1339000 × 102 ×
1
10
+ 10000 x (124 + 99 ×
1
10
) = 20000 x ( x + 102 ×
1
10
)
    Remove a bracket on the right of the equation::
     1339000 x + 1339000 × 102 ×
1
10
+ 10000 x (124 + 99 ×
1
10
) = 20000 x x + 20000 x × 102 ×
1
10
    The equation is reduced to :
     1339000 x + 13657800 + 10000 x (124 + 99 ×
1
10
) = 20000 x x + 204000 x
    Remove a bracket on the left of the equation:
     1339000 x + 13657800 + 10000 x × 124 + 10000 x × 99 ×
1
10
= 20000 x x + 204000 x
    The equation is reduced to :
     1339000 x + 13657800 + 1240000 x + 99000 x = 20000 x x + 204000 x
    The equation is reduced to :
     2678000 x + 13657800 = 20000 x x + 204000 x

    The solution of the equation:
        x1≈-5.293968 , keep 6 decimal places
        x2≈128.993968 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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