Mathematics
         
语言:中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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 x*x/(600*600)+(120*120-240*x+x*x)/(90*90) = 1 .
    Question type: Equation
    Solution:Original question:
      x x ÷ (600 × 600) + (120 × 120240 x + x x ) ÷ (90 × 90) = 1
     Multiply both sides of the equation by:(600 × 600)
      x x + (120 × 120240 x + x x ) ÷ (90 × 90) × (600 × 600) = 1(600 × 600)
    Remove a bracket on the left of the equation::
      x x + 120 × 120 ÷ (90 × 90) × (600 × 600)240 x ÷ (90 × 90) × (600 × 600) + x x = 1(600 × 600)
    Remove a bracket on the right of the equation::
      x x + 120 × 120 ÷ (90 × 90) × (600 × 600)240 x ÷ (90 × 90) × (600 × 600) + x x = 1 × 600 × 600
    The equation is reduced to :
      x x + 14400 ÷ (90 × 90) × (600 × 600)240 x ÷ (90 × 90) × (600 × 600) + x x ÷ (90 × 90) = 360000
     Multiply both sides of the equation by:(90 × 90)
      x x (90 × 90) + 14400(600 × 600)240 x ÷ (90 × 90) × (600 × 600)(90 × 90) + x x = 360000(90 × 90)
    Remove a bracket on the left of the equation:
      x x × 90 × 90 + 14400(600 × 600)240 x ÷ (90 × 90) × (600 × 600)(90 × 90) + x = 360000(90 × 90)
    Remove a bracket on the right of the equation::
      x x × 90 × 90 + 14400(600 × 600)240 x ÷ (90 × 90) × (600 × 600)(90 × 90) + x = 360000 × 90 × 90
    The equation is reduced to :
      x x × 8100 + 14400(600 × 600)240 x ÷ (90 × 90) × (600 × 600)(90 × 90) + x x = 2916000000
     Multiply both sides of the equation by:(90 × 90)
      x x × 8100(90 × 90) + 14400(600 × 600)(90 × 90)240 x (600 × 600)(90 × 90) + x = 2916000000(90 × 90)
    Remove a bracket on the left of the equation:
      x x × 8100 × 90 × 90 + 14400(600 × 600)(90 × 90)240 x (600 × 600)(90 × 90) = 2916000000(90 × 90)
    Remove a bracket on the right of the equation::
      x x × 8100 × 90 × 90 + 14400(600 × 600)(90 × 90)240 x (600 × 600)(90 × 90) = 2916000000 × 90 × 90

    the solutions is:
        x≈30.113424 , keep 6 decimal places
    
    There are 1 solution(s).


解方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。