Mathematics
         
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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 1/X+2/0.8X = 2*(1/3X+2/1.5X) .
    Question type: Equation
    Solution:Original question:
     1 ÷ X + 2 ÷
4
5
× X = 2(1 ÷ 3 × X + 2 ÷
3
2
× X )
     Multiply both sides of the equation by: X
     1 + 2 ÷
4
5
× X X = 2(1 ÷ 3 × X + 2 ÷
3
2
× X ) X
    Remove a bracket on the right of the equation::
     1 + 2 ÷
4
5
× X X = 2 × 1 ÷ 3 × X X + 2 × 2 ÷
3
2
× X X
    The equation is reduced to :
     1 +
5
2
X X =
2
3
X X +
8
3
X X

    After the equation is converted into a general formula, it is converted into:
    ( √5X +√6 )( √5X - √6 )=0
    From
        √5X +√6 = 0
        √5X - √6 = 0

    it is concluded that::
        X1=-
√6
√5
        X2=
√6
√5
    
    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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