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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 69.33-22.34/(1+X/12*2)+16/(1+X/12*4) = 0 .
    Question type: Equation
    Solution:Original question:
     
6933
100
1117
50
÷ (1 + X ÷ 12 × 2) + 16 ÷ (1 + X ÷ 12 × 4) = 0
     Multiply both sides of the equation by:(1 + X ÷ 12 × 2)
     
6933
100
(1 + X ÷ 12 × 2)
1117
50
+ 16 ÷ (1 + X ÷ 12 × 4) × (1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation::
     
6933
100
× 1 +
6933
100
X ÷ 12 × 2
1117
50
+ 16 ÷ (1 + X ÷ 12 × 4) × (1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
6933
100
+
2311
200
X
1117
50
+ 16 ÷ (1 + X ÷ 12 × 4) × (1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
4699
100
+
2311
200
X + 16 ÷ (1 + X ÷ 12 × 4) × (1 + X ÷ 12 × 2) = 0
     Multiply both sides of the equation by:(1 + X ÷ 12 × 4)
     
4699
100
(1 + X ÷ 12 × 4) +
2311
200
X (1 + X ÷ 12 × 4) + 16(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
4699
100
× 1 +
4699
100
X ÷ 12 × 4 +
2311
200
X (1 + X ÷ 12 × 4) + 16(1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
4699
100
+
4699
300
X +
2311
200
X (1 + X ÷ 12 × 4) + 16(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
4699
100
+
4699
300
X +
2311
200
X × 1 +
2311
200
X X ÷ 12 × 4 + 16 = 0
    The equation is reduced to :
     
4699
100
+
4699
300
X +
2311
200
X +
2311
600
X X + 16(1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
4699
100
+
16331
600
X +
2311
600
X X + 16(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
4699
100
+
16331
600
X +
2311
600
X X + 16 × 1 + 16 X ÷ 12 × 2 = 0
    The equation is reduced to :
     
4699
100
+
16331
600
X +
2311
600
X X + 16 +
8
3
X = 0
    The equation is reduced to :
     
6299
100
+
5977
200
X +
2311
600
X X = 0
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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