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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 2/(1+2.5m)-7/6 = 2/(1-m) .
    Question type: Equation
    Solution:Original question:
     2 ÷ (1 +
5
2
m )7 ÷ 6 = 2 ÷ (1 m )
     Multiply both sides of the equation by:(1 +
5
2
m ) ,  (1 m )
     2(1 m )7 ÷ 6 × (1 +
5
2
m )(1 m ) = 2(1 +
5
2
m )
    Remove a bracket on the left of the equation::
     2 × 12 m 7 ÷ 6 × (1 +
5
2
m )(1 m ) = 2(1 +
5
2
m )
    Remove a bracket on the right of the equation::
     2 × 12 m 7 ÷ 6 × (1 +
5
2
m )(1 m ) = 2 × 1 + 2 ×
5
2
m
    The equation is reduced to :
     22 m
7
6
(1 +
5
2
m )(1 m ) = 2 + 5 m
    Remove a bracket on the left of the equation:
     22 m
7
6
× 1(1 m )
7
6
×
5
2
m (1 m ) = 2 + 5 m
    The equation is reduced to :
     22 m
7
6
(1 m )
35
12
m (1 m ) = 2 + 5 m
    Remove a bracket on the left of the equation:
     22 m
7
6
× 1 +
7
6
m
35
12
m (1 m ) = 2 + 5 m
    The equation is reduced to :
     22 m
7
6
+
7
6
m
35
12
m (1 m ) = 2 + 5 m
    The equation is reduced to :
     
5
6
5
6
m
35
12
m (1 m ) = 2 + 5 m
    Remove a bracket on the left of the equation:
     
5
6
5
6
m
35
12
m × 1 +
35
12
m m = 2 + 5 m
    The equation is reduced to :
     
5
6
5
6
m
35
12
m +
35
12
m m = 2 + 5 m
    The equation is reduced to :
     
5
6
15
4
m +
35
12
m m = 2 + 5 m

    The solution of the equation:
        m1≈-0.127882 , keep 6 decimal places
        m2≈3.127882 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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