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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (1-x)/1.746 = 0.13053*0.7177*x/(1+0.7177*x) .
    Question type: Equation
    Solution:Original question:
     (1 x ) ÷
873
500
=
13053
100000
×
7177
10000
x ÷ (1 +
7177
10000
x )
     Multiply both sides of the equation by:(1 +
7177
10000
x )
     (1 x ) ÷
873
500
× (1 +
7177
10000
x ) =
13053
100000
×
7177
10000
x
    Remove a bracket on the left of the equation::
     1 ÷
873
500
× (1 +
7177
10000
x ) x ÷
873
500
× (1 +
7177
10000
x ) =
13053
100000
×
7177
10000
x
    The equation is reduced to :
     
500
873
(1 +
7177
10000
x ) x ×
500
873
(1 +
7177
10000
x ) =
93681381
1000000000
x
    Remove a bracket on the left of the equation:
     
500
873
× 1 +
500
873
×
7177
10000
x x ×
500
873
(1 +
7177
10000
x ) =
93681381
1000000000
x
    The equation is reduced to :
     
500
873
+
7177
17460
x x ×
500
873
(1 +
7177
10000
x ) =
93681381
1000000000
x
    Remove a bracket on the left of the equation:
     
500
873
+
7177
17460
x x ×
500
873
× 1 x ×
500
873
×
7177
10000
x =
93681381
1000000000
x
    The equation is reduced to :
     
500
873
+
7177
17460
x x ×
500
873
x ×
7177
17460
x =
93681381
1000000000
x
    The equation is reduced to :
     
500
873
941
5820
x x ×
7177
17460
x =
93681381
1000000000
x

    The solution of the equation:
        x1≈-1.531207 , keep 6 decimal places
        x2≈-1.393340 , keep 6 decimal places
        x3≈0.909962 , 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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