Mathematics
语言:中文
Language:English

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-x)/2 = 0.1542*0.6842*x/(1+0.6842*x) .
    Question type: Equation
    Solution:Original question:
     (2 x ) ÷ 2 =
771
5000
×
3421
5000
x ÷ (1 +
3421
5000
x )
     Multiply both sides of the equation by:(1 +
3421
5000
x )
     (2 x ) ÷ 2 × (1 +
3421
5000
x ) =
771
5000
×
3421
5000
x
    Remove a bracket on the left of the equation::
     2 ÷ 2 × (1 +
3421
5000
x ) x ÷ 2 × (1 +
3421
5000
x ) =
771
5000
×
3421
5000
x
    The equation is reduced to :
     1(1 +
3421
5000
x ) x ×
1
2
(1 +
3421
5000
x ) =
2637591
25000000
x
    Remove a bracket on the left of the equation:
     1 × 1 + 1 ×
3421
5000
x x ×
1
2
(1 +
3421
5000
x ) =
2637591
25000000
x
    The equation is reduced to :
     1 +
3421
5000
x x ×
1
2
(1 +
3421
5000
x ) =
2637591
25000000
x
    Remove a bracket on the left of the equation:
     1 +
3421
5000
x x ×
1
2
× 1 x ×
1
2
×
3421
5000
x =
2637591
25000000
x
    The equation is reduced to :
     1 +
3421
5000
x x ×
1
2
x ×
3421
10000
x =
2637591
25000000
x
    The equation is reduced to :
     1 +
921
5000
x x ×
3421
10000
x =
2637591
25000000
x

    The solution of the equation:
        x1≈-1.598559 , keep 6 decimal places
        x2≈-1.461561 , keep 6 decimal places
        x3≈1.828598 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》




Your problem has not been solved here? Please take a look at the  hot problems !


Return