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 ((36÷r)-r)÷4 = (2r-(36÷r))÷5 .
    Question type: Equation
    Solution:Original question:
     ((36 ÷ r ) r ) ÷ 4 = (2 r (36 ÷ r )) ÷ 5
    Remove a bracket on the left of the equation::
     (36 ÷ r ) ÷ 4 r ÷ 4 = (2 r (36 ÷ r )) ÷ 5
    Remove a bracket on the right of the equation::
     (36 ÷ r ) ÷ 4 r ÷ 4 = 2 r ÷ 5(36 ÷ r ) ÷ 5
    The equation is reduced to :
     (36 ÷ r ) ×
1
4
r ×
1
4
=
2
5
r (36 ÷ r ) ×
1
5
    Remove a bracket on the left of the equation:
     36 ÷ r ×
1
4
1
4
r =
2
5
r (36 ÷ r ) ×
1
5
    Remove a bracket on the right of the equation::
     36 ÷ r ×
1
4
1
4
r =
2
5
r 36 ÷ r ×
1
5
    The equation is reduced to :
     9 ÷ r
1
4
r =
2
5
r
36
5
÷ r
     Multiply both sides of the equation by: r
     9
1
4
r r =
2
5
r r
36
5
÷ 1 × 1

    The solution of the equation:
        r1≈-4.992302 , keep 6 decimal places
        r2≈4.992302 , 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。