Mathematics
         
语言:中文    Language:English
On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 20000/(X+22.4)+7600/(X+13.44) = 150 .
    Question type: Equation
    Solution:Original question:
     20000 ÷ ( X +
112
5
) + 7600 ÷ ( X +
336
25
) = 150
     Multiply both sides of the equation by:( X +
112
5
)
     20000 + 7600 ÷ ( X +
336
25
) × ( X +
112
5
) = 150( X +
112
5
)
    Remove a bracket on the left of the equation::
     20000 + 7600 ÷ ( X +
336
25
) × X + 7600 ÷ ( X +
336
25
) ×
112
5
= 150( X +
112
5
)
    Remove a bracket on the right of the equation::
     20000 + 7600 ÷ ( X +
336
25
) × X + 7600 ÷ ( X +
336
25
) ×
112
5
= 150 X + 150 ×
112
5
    The equation is reduced to :
     20000 + 7600 ÷ ( X +
336
25
) × X + 170240 ÷ ( X +
336
25
) = 150 X + 3360
     Multiply both sides of the equation by:( X +
336
25
)
     20000( X +
336
25
) + 7600 X + 170240 = 150 X ( X +
336
25
) + 3360( X +
336
25
)
    Remove a bracket on the left of the equation:
     20000 X + 20000 ×
336
25
+ 7600 X + 170240 = 150 X ( X +
336
25
) + 3360( X +
336
25
)
    Remove a bracket on the right of the equation::
     20000 X + 20000 ×
336
25
+ 7600 X + 170240 = 150 X X + 150 X ×
336
25
+ 3360( X +
336
25
)
    The equation is reduced to :
     20000 X + 268800 + 7600 X + 170240 = 150 X X + 2016 X + 3360( X +
336
25
)
    The equation is reduced to :
     27600 X + 439040 = 150 X X + 2016 X + 3360( X +
336
25
)
    Remove a bracket on the right of the equation::
     27600 X + 439040 = 150 X X + 2016 X + 3360 X + 3360 ×
336
25
    The equation is reduced to :
     27600 X + 439040 = 150 X X + 2016 X + 3360 X +
225792
5
    The equation is reduced to :
     27600 X + 439040 = 150 X X + 5376 X +
225792
5

    The solution of the equation:
        X1≈-15.996211 , keep 6 decimal places
        X2≈164.156211 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。