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 5+(45+x)+5÷(50+x) = 20 .
    Question type: Equation
    Solution:Original question:
     5 + (45 + x ) + 5 ÷ (50 + x ) = 20
     Multiply both sides of the equation by:(50 + x )
     5(50 + x ) + (45 + x )(50 + x ) + 5 = 20(50 + x )
    Remove a bracket on the left of the equation::
     5 × 50 + 5 x + (45 + x )(50 + x ) + 5 = 20(50 + x )
    Remove a bracket on the right of the equation::
     5 × 50 + 5 x + (45 + x )(50 + x ) + 5 = 20 × 50 + 20 x
    The equation is reduced to :
     250 + 5 x + (45 + x )(50 + x ) + 5 = 1000 + 20 x
    The equation is reduced to :
     255 + 5 x + (45 + x )(50 + x ) = 1000 + 20 x
    Remove a bracket on the left of the equation:
     255 + 5 x + 45(50 + x ) + x (50 + x ) = 1000 + 20 x
    Remove a bracket on the left of the equation:
     255 + 5 x + 45 × 50 + 45 x + x (50 + x ) = 1000 + 20 x
    The equation is reduced to :
     255 + 5 x + 2250 + 45 x + x (50 + x ) = 1000 + 20 x
    The equation is reduced to :
     2505 + 50 x + x (50 + x ) = 1000 + 20 x
    Remove a bracket on the left of the equation:
     2505 + 50 x + x × 50 + x x = 1000 + 20 x
    The equation is reduced to :
     2505 + 100 x + x x = 1000 + 20 x

    The solution of the equation:
        x1≈-49.746794 , keep 6 decimal places
        x2≈-30.253206 , 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。