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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 150*27.5x*(1-0.002/3/0.0033) = 360*157+200*157*0.0033*(115/x-1)-200*157*0.0018+240000*0.0033*150*0.167*(150/x-1) .
    Question type: Equation
    Solution:Original question:
     150 ×
55
2
x (1
1
500
÷ 3 ÷
33
10000
) = 360 × 157 + 200 × 157 ×
33
10000
(115 ÷ x 1)200 × 157 ×
9
5000
+ 240000 ×
33
10000
× 150
    Remove a bracket on the left of the equation::
     150 ×
55
2
x × 1150 ×
55
2
x ×
1
500
÷ 3 ÷
33
10000
= 360 × 157 + 200 × 157 ×
33
10000
(115 ÷ x 1)200 × 157 ×
9
5000
+ 240000 ×
33
10000
× 150
    Remove a bracket on the right of the equation::
     150 ×
55
2
x × 1150 ×
55
2
x ×
1
500
÷ 3 ÷
33
10000
= 360 × 157 + 200 × 157 ×
33
10000
× 115 ÷ x 200 × 157 ×
33
10000
× 1200
    The equation is reduced to :
     4125 x
2500
3
x = 56520 +
119163
10
÷ x
5181
50
1413
25
+
99198
5
(150 ÷ x 1)
    The equation is reduced to :
     
9875
3
x =
2817993
50
+
119163
10
÷ x +
99198
5
(150 ÷ x 1)
     Multiply both sides of the equation by: x
     
9875
3
x x =
2817993
50
x +
119163
10
+
99198
5
(150 ÷ x 1) x
    Remove a bracket on the right of the equation::
     
9875
3
x x =
2817993
50
x +
119163
10
+
99198
5
× 150 ÷ x × x
99198
5
× 1 x
    The equation is reduced to :
     
9875
3
x x =
2817993
50
x +
119163
10
+ 2975940 ÷ x × x
99198
5
x
    The equation is reduced to :
     
9875
3
x x =
1826013
50
x +
119163
10
+ 2975940 ÷ x × x

    The solution of the equation:
        x1≈-25.087184 , keep 6 decimal places
        x2≈36.181947 , 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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