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 4/(4+x)+9/(9+x) = 1 .
    Question type: Equation
    Solution:Original question:
     4 ÷ (4 + x ) + 9 ÷ (9 + x ) = 1
     Multiply both sides of the equation by:(4 + x )
     4 + 9 ÷ (9 + x ) × (4 + x ) = 1(4 + x )
    Remove a bracket on the left of the equation::
     4 + 9 ÷ (9 + x ) × 4 + 9 ÷ (9 + x ) × x = 1(4 + x )
    Remove a bracket on the right of the equation::
     4 + 9 ÷ (9 + x ) × 4 + 9 ÷ (9 + x ) × x = 1 × 4 + 1 x
    The equation is reduced to :
     4 + 36 ÷ (9 + x ) + 9 ÷ (9 + x ) × x = 4 + 1 x
     Multiply both sides of the equation by:(9 + x )
     4(9 + x ) + 36 + 9 x = 4(9 + x ) + 1 x (9 + x )
    Remove a bracket on the left of the equation:
     4 × 9 + 4 x + 36 + 9 x = 4(9 + x ) + 1 x (9 + x )
    Remove a bracket on the right of the equation::
     4 × 9 + 4 x + 36 + 9 x = 4 × 9 + 4 x + 1 x (9 + x )
    The equation is reduced to :
     36 + 4 x + 36 + 9 x = 36 + 4 x + 1 x (9 + x )
    The equation is reduced to :
     72 + 13 x = 36 + 4 x + 1 x (9 + x )
    Remove a bracket on the right of the equation::
     72 + 13 x = 36 + 4 x + 1 x × 9 + 1 x x
    The equation is reduced to :
     72 + 13 x = 36 + 4 x + 9 x + 1 x x
    The equation is reduced to :
     72 + 13 x = 36 + 13 x + 1 x x

    After the equation is converted into a general formula, it is converted into:
    ( x + 6 )( x - 6 )=0
    From
        x + 6 = 0
        x - 6 = 0

    it is concluded that::
        x1=-6
        x2=6
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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。