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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    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 36.96/(1+x/12*3)+0.04/(1+x/12*13) = 35.56 .
    Question type: Equation
    Solution:Original question:
     
924
25
÷ (1 + x ÷ 12 × 3) +
1
25
÷ (1 + x ÷ 12 × 13) =
889
25
     Multiply both sides of the equation by:(1 + x ÷ 12 × 3)
     
924
25
+
1
25
÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 3) =
889
25
(1 + x ÷ 12 × 3)
    Remove a bracket on the left of the equation::
     
924
25
+
1
25
÷ (1 + x ÷ 12 × 13) × 1 +
1
25
÷ (1 + x ÷ 12 × 13) × x ÷ 12 × 3 =
889
25
(1 + x ÷ 12 × 3)
    Remove a bracket on the right of the equation::
     
924
25
+
1
25
÷ (1 + x ÷ 12 × 13) × 1 +
1
25
÷ (1 + x ÷ 12 × 13) × x ÷ 12 × 3 =
889
25
× 1 +
889
25
x ÷ 12 × 3
    The equation is reduced to :
     
924
25
+
1
25
÷ (1 + x ÷ 12 × 13) +
1
100
÷ (1 + x ÷ 12 × 13) × x =
889
25
+
889
100
x
     Multiply both sides of the equation by:(1 + x ÷ 12 × 13)
     
924
25
(1 + x ÷ 12 × 13) +
1
25
+
1
100
x =
889
25
(1 + x ÷ 12 × 13) +
889
100
x (1 + x ÷ 12 × 13)
    Remove a bracket on the left of the equation:
     
924
25
× 1 +
924
25
x ÷ 12 × 13 +
1
25
+
1
100
x =
889
25
(1 + x ÷ 12 × 13) +
889
100
x (1 + x ÷ 12 × 13)
    Remove a bracket on the right of the equation::
     
924
25
× 1 +
924
25
x ÷ 12 × 13 +
1
25
+
1
100
x =
889
25
× 1 +
889
25
x ÷ 12 × 13 +
889
100
x (1 + x ÷ 12 × 13)
    The equation is reduced to :
     
924
25
+
1001
25
x +
1
25
+
1
100
x =
889
25
+
11557
300
x +
889
100
x (1 + x ÷ 12 × 13)
    The equation is reduced to :
     37 +
801
20
x =
889
25
+
11557
300
x +
889
100
x (1 + x ÷ 12 × 13)
    Remove a bracket on the right of the equation::
     37 +
801
20
x =
889
25
+
11557
300
x +
889
100
x × 1 +
889
100
x x ÷ 12 × 13
    The equation is reduced to :
     37 +
801
20
x =
889
25
+
11557
300
x +
889
100
x +
11557
1200
x x
    The equation is reduced to :
     37 +
801
20
x =
889
25
+
3556
75
x +
11557
1200
x x

    
        x≈0.161464 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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