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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 9.06/(40/X+8.5)-8.8/(50/X+6.8) = 0 .
    Question type: Equation
    Solution:Original question:
     
453
50
 ÷ (40 ÷ X +
17
2
) −
44
5
 ÷ (50 ÷ X +
34
5
) = 0
     Multiply both sides of the equation by:(40 ÷ X +
17
2
)
     
453
50
 −
44
5
 ÷ (50 ÷ X +
34
5
) × (40 ÷ X +
17
2
) = 0
    Remove a bracket on the left of the equation:：
     
453
50
 −
44
5
 ÷ (50 ÷ X +
34
5
) × 40 ÷ X −
44
5
 ÷ (50 ÷ X +
34
5
) ×
17
2
 = 0
    The equation is reduced to :
     
453
50
 − 352 ÷ (50 ÷ X +
34
5
) ÷ X −
374
5
 ÷ (50 ÷ X +
34
5
) = 0
     Multiply both sides of the equation by:(50 ÷ X +
34
5
)
     
453
50
(50 ÷ X +
34
5
) − 352 ÷ X −
374
5
 ÷ (50 ÷ X +
34
5
) × (50 ÷ X +
34
5
) = 0
    Remove a bracket on the left of the equation:
     
453
50
 × 50 ÷ X +
453
50
 ×
34
5
 − 352 ÷ X −
374
5
 ÷ (50 ÷ X +
34
5
) × (50 ÷ X +
34
5
) = 0
    The equation is reduced to :
     453 ÷ X +
7701
125
 − 352 ÷ X −
374
5
 ÷ (50 ÷ X +
34
5
) × (50 ÷ X +
34
5
) = 0
     Multiply both sides of the equation by: X
     453 +
7701
125
 X − 352 ÷ 1 × 1 −
374
5
 ÷ (50 ÷ X +
34
5
) × (50 ÷ X +
34
5
) X = 0
    Remove a bracket on the left of the equation:
     453 +
7701
125
 X − 352 ÷ 1 × 1 −
374
5
 ÷ (50 ÷ X +
34
5
) × 50 ÷ X × X −
374
5
 = 0
    The equation is reduced to :
     453 +
7701
125
 X − 352 − 3740 ÷ (50 ÷ X +
34
5
) ÷ X × X −
12716
25
 ÷ (50 ÷ X +
34
5
) × X = 0
    The equation is reduced to :
     101 +
7701
125
 X − 3740 ÷ (50 ÷ X +
34
5
) ÷ X × X −
12716
25
 ÷ (50 ÷ X +
34
5
) × X = 0
     Multiply both sides of the equation by:(50 ÷ X +
34
5
)
     101(50 ÷ X +
34
5
) +
7701
125
 X (50 ÷ X +
34
5
) − 3740 ÷ 1 × 1 −
12716
25
 ÷ (50 ÷ X +
34
5
) × X (50 ÷ X +
34
5
) = 0
    Remove a bracket on the left of the equation:
     101 × 50 ÷ X + 101 ×
34
5
 +
7701
125
 X (50 ÷ X +
34
5
) − 3740 ÷ 1 × 1 −
12716
25
 = 0
    The equation is reduced to :
     5050 ÷ X +
3434
5
 +
7701
125
 X (50 ÷ X +
34
5
) − 3740 −
12716
25
 ÷ (50 ÷ X +
34
5
) × X (50 ÷ X +
34
5
) = 0
    The equation is reduced to :
     5050 ÷ X −
15266
5
 +
7701
125
 X (50 ÷ X +
34
5
) −
12716
25
 ÷ (50 ÷ X +
34
5
) × X (50 ÷ X +
34
5
) = 0
     Multiply both sides of the equation by: X
     5050 −
15266
5
 X +
7701
125
 X (50 ÷ X +
34
5
) X −
12716
25
 ÷ (50 ÷ X +
34
5
) × X (50 ÷ X +
34
5
) X = 0
    Remove a bracket on the left of the equation:
     5050 −
15266
5
 X +
7701
125
 X × 50 ÷ X × X +
7701
125
 X ×
34
5
 X = 0
    The equation is reduced to :
     5050 −
15266
5
 X +
15402
5
 X ÷ X × X +
261834
625
 X X −
12716
25
 ÷ (50 ÷ X +
34
5
) = 0
     Multiply both sides of the equation by:(50 ÷ X +
34
5
)
     5050(50 ÷ X +
34
5
) −
15266
5
 X (50 ÷ X +
34
5
) +
15402
5
 × 1 ÷ 1 × X (50 ÷ X +
34
5
) +
261834
625
 X = 0
    Remove a bracket on the left of the equation:
     5050 × 50 ÷ X + 5050 ×
34
5
 −
15266
5
 X (50 ÷ X +
34
5
) +
15402
5
 × 1 ÷ 1 × X = 0

    After the equation is converted into a general formula, there is a common factor:
    ( √109375X - √6411203 )
    From
        √109375X - √6411203 = 0
    it is concluded that:：
        X1=
√6411203
√109375

    Solutions that cannot be obtained by factorization:
        X2≈-7.352941 , keep 6 decimal places
        X3≈-4.705882 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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