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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 100M/(1.6M+3.6)+5.6+6M = 85 .
    Question type: Equation
    Solution:Original question:
     100 M ÷ (
8
5
M +
18
5
) +
28
5
+ 6 M = 85
     Multiply both sides of the equation by:(
8
5
M +
18
5
)
     100 M +
28
5
(
8
5
M +
18
5
) + 6 M (
8
5
M +
18
5
) = 85(
8
5
M +
18
5
)
    Remove a bracket on the left of the equation::
     100 M +
28
5
×
8
5
M +
28
5
×
18
5
+ 6 M (
8
5
M +
18
5
) = 85(
8
5
M +
18
5
)
    Remove a bracket on the right of the equation::
     100 M +
28
5
×
8
5
M +
28
5
×
18
5
+ 6 M (
8
5
M +
18
5
) = 85 ×
8
5
M + 85 ×
18
5
    The equation is reduced to :
     100 M +
224
25
M +
504
25
+ 6 M (
8
5
M +
18
5
) = 136 M + 306
    The equation is reduced to :
     
2724
25
M +
504
25
+ 6 M (
8
5
M +
18
5
) = 136 M + 306
    Remove a bracket on the left of the equation:
     
2724
25
M +
504
25
+ 6 M ×
8
5
M + 6 M ×
18
5
= 136 M + 306
    The equation is reduced to :
     
2724
25
M +
504
25
+
48
5
M M +
108
5
M = 136 M + 306
    The equation is reduced to :
     
3264
25
M +
504
25
+
48
5
M M = 136 M + 306

    The solution of the equation:
        M1≈-5.180665 , keep 6 decimal places
        M2≈5.747332 , 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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