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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*(1-0.00205/3/0.0032) = 360*157+200*157*0.0032*(115/x-1)-200*157*0.0018+240000*0.0032*50*0.167*3*(150/x-1) .
    Question type: Equation
    Solution:Original question:
     150 ×
55
2
x (1
41
20000
÷ 3 ÷
2
625
) = 360 × 157 + 200 × 157 ×
2
625
(115 ÷ x 1)200 × 157 ×
9
5000
+ 240000 ×
2
625
× 50
    Remove a bracket on the left of the equation::
     150 ×
55
2
x × 1150 ×
55
2
x ×
41
20000
÷ 3 ÷
2
625
= 360 × 157 + 200 × 157 ×
2
625
(115 ÷ x 1)200 × 157 ×
9
5000
+ 240000 ×
2
625
× 50
    Remove a bracket on the right of the equation::
     150 ×
55
2
x × 1150 ×
55
2
x ×
41
20000
÷ 3 ÷
2
625
= 360 × 157 + 200 × 157 ×
2
625
× 115 ÷ x 200 × 157 ×
2
625
× 1200
    The equation is reduced to :
     4125 x
56375
64
x = 56520 +
57776
5
÷ x
2512
25
1413
25
+
96192
5
(150 ÷ x 1)
    The equation is reduced to :
     
207625
64
x = 56363 +
57776
5
÷ x +
96192
5
(150 ÷ x 1)
     Multiply both sides of the equation by: x
     
207625
64
x x = 56363 x +
57776
5
+
96192
5
(150 ÷ x 1) x
    Remove a bracket on the right of the equation::
     
207625
64
x x = 56363 x +
57776
5
+
96192
5
× 150 ÷ x × x
96192
5
× 1 x
    The equation is reduced to :
     
207625
64
x x = 56363 x +
57776
5
+ 2885760 ÷ x × x
96192
5
x
    The equation is reduced to :
     
207625
64
x x =
185623
5
x +
57776
5
+ 2885760 ÷ x × x

    The solution of the equation:
        x1≈-24.705673 , keep 6 decimal places
        x2≈36.149258 , 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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