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 1/(d+20) = 1/d+2/(d+12) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( d + 20) = 1 ÷ d + 2 ÷ ( d + 12)
     Multiply both sides of the equation by:( d + 20) ,   d
     1 d = 1( d + 20) + 2 ÷ ( d + 12) × ( d + 20) d
    Remove a bracket on the right of the equation::
     1 d = 1 d + 1 × 20 + 2 ÷ ( d + 12) × ( d + 20) d
    The equation is reduced to :
     1 d = 1 d + 20 + 2 ÷ ( d + 12) × ( d + 20) d
     Multiply both sides of the equation by:( d + 12)
     1 d ( d + 12) = 1 d ( d + 12) + 20( d + 12) + 2( d + 20) d
    Remove a bracket on the left of the equation:
     1 d d + 1 d × 12 = 1 d ( d + 12) + 20( d + 12) + 2( d + 20) d
    Remove a bracket on the right of the equation::
     1 d d + 1 d × 12 = 1 d d + 1 d × 12 + 20( d + 12) + 2( d + 20) d
    The equation is reduced to :
     1 d d + 12 d = 1 d d + 12 d + 20( d + 12) + 2( d + 20) d
    Remove a bracket on the right of the equation::
     1 d d + 12 d = 1 d d + 12 d + 20 d + 20 × 12 + 2( d + 20) d
    The equation is reduced to :
     1 d d + 12 d = 1 d d + 12 d + 20 d + 240 + 2( d + 20) d
    The equation is reduced to :
     1 d d + 12 d = 1 d d + 32 d + 240 + 2( d + 20) d
    Remove a bracket on the right of the equation::
     1 d d + 12 d = 1 d d + 32 d + 240 + 2 d d + 2 × 20 d
    The equation is reduced to :
     1 d d + 12 d = 1 d d + 32 d + 240 + 2 d d + 40 d
    The equation is reduced to :
     1 d d + 12 d = 1 d d + 72 d + 240 + 2 d d

    The solution of the equation:
        d1≈-25.246951 , keep 6 decimal places
        d2≈-4.753049 , 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。