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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 y+2+1/(y+2) = 26/5 .
    Question type: Equation
    Solution:Original question:
      y + 2 + 1 ÷ ( y + 2) = 26 ÷ 5
     Multiply both sides of the equation by:( y + 2)
      y ( y + 2) + 2( y + 2) + 1 = 26 ÷ 5 × ( y + 2)
    Remove a bracket on the left of the equation::
      y y + y × 2 + 2( y + 2) + 1 = 26 ÷ 5 × ( y + 2)
    Remove a bracket on the right of the equation::
      y y + y × 2 + 2( y + 2) + 1 = 26 ÷ 5 × y + 26 ÷ 5 × 2
    The equation is reduced to :
      y y + y × 2 + 2( y + 2) + 1 =
26
5
y +
52
5
    Remove a bracket on the left of the equation:
      y y + 2 y + 2 y + 2 × 2 + 1 =
26
5
y +
52
5
    The equation is reduced to :
      y y + 2 y + 2 y + 4 + 1 =
26
5
y +
52
5
    The equation is reduced to :
      y y + 4 y + 5 =
26
5
y +
52
5

    After the equation is converted into a general formula, it is converted into:
    ( 5y + 9 )( y - 3 )=0
    From
        5y + 9 = 0
        y - 3 = 0

    it is concluded that::
        y1=-
9
5
        y2=3
    
    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》



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