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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 1-(0.7x/(0.7x+100)) = (1-(0.532x/(0.532x+100)))*1.234 .
    Question type: Equation
    Solution:Original question:
     1(
7
10
x ÷ (
7
10
x + 100)) = (1(
133
250
x ÷ (
133
250
x + 100))) ×
617
500
    Remove a bracket on the left of the equation::
     1
7
10
x ÷ (
7
10
x + 100) = (1(
133
250
x ÷ (
133
250
x + 100))) ×
617
500
    Remove a bracket on the right of the equation::
     1
7
10
x ÷ (
7
10
x + 100) = 1 ×
617
500
(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
    The equation is reduced to :
     1
7
10
x ÷ (
7
10
x + 100) =
617
500
(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
     Multiply both sides of the equation by:(
7
10
x + 100)
     1(
7
10
x + 100)
7
10
x =
617
500
(
7
10
x + 100)(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
(
7
10
x + 100)
    Remove a bracket on the left of the equation:
     1 ×
7
10
x + 1 × 100
7
10
x =
617
500
(
7
10
x + 100)(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
(
7
10
x + 100)
    Remove a bracket on the right of the equation::
     1 ×
7
10
x + 1 × 100
7
10
x =
617
500
×
7
10
x +
617
500
× 100(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
(
7
10
x + 100)
    The equation is reduced to :
     
7
10
x + 100
7
10
x =
4319
5000
x +
617
5
(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
(
7
10
x + 100)
    The equation is reduced to :
      0 x + 100 =
4319
5000
x +
617
5
(
133
250
x ÷ (
133
250
x + 100)) ×
617
500
(
7
10
x + 100)
    Remove a bracket on the right of the equation::
     100 =
4319
5000
x +
617
5
133
250
x ÷ (
133
250
x + 100) ×
617
500
(
7
10
x + 100)
    The equation is reduced to :
     100 =
4319
5000
x +
617
5
82061
125000
x ÷ (
133
250
x + 100) × (
7
10
x + 100)
     Multiply both sides of the equation by:(
133
250
x + 100)
     100(
133
250
x + 100) =
4319
5000
x (
133
250
x + 100) +
617
5
(
133
250
x + 100)
82061
125000
x (
7
10
x + 100)
    Remove a bracket on the left of the equation:
     100 ×
133
250
x + 100 × 100 =
4319
5000
x (
133
250
x + 100) +
617
5
(
133
250
x + 100)
82061
125000
x (
7
10
x + 100)
    Remove a bracket on the right of the equation::
     100 ×
133
250
x + 100 × 100 =
4319
5000
x ×
133
250
x +
4319
5000
x × 100 +
617
5
(
133
250
x + 100)
82061
125000
x (
7
10
x + 100)
    The equation is reduced to :
     
266
5
x + 10000 =
574427
1250000
x x +
4319
50
x +
617
5
(
133
250
x + 100)
82061
125000
x (
7
10
x + 100)
    Remove a bracket on the right of the equation::
     
266
5
x + 10000 =
574427
1250000
x x +
4319
50
x +
617
5
×
133
250
x +
617
5
× 100
82061
125000
x
    The equation is reduced to :
     
266
5
x + 10000 =
574427
1250000
x x +
4319
50
x +
82061
1250
x + 12340
82061
125000
x (
7
10
x + 100)
    The equation is reduced to :
     
266
5
x + 10000 =
574427
1250000
x x +
95018
625
x + 12340
82061
125000
x (
7
10
x + 100)
    Remove a bracket on the right of the equation::
     
266
5
x + 10000 =
574427
1250000
x x +
95018
625
x + 12340
82061
125000
x ×
7
10
x
82061
125000
x
    The equation is reduced to :
     
266
5
x + 10000 =
574427
1250000
x x +
95018
625
x + 12340
574427
1250000
x x
82061
1250
x
    The equation is reduced to :
     
266
5
x + 10000 =
574427
1250000
x x +
4319
50
x + 12340
574427
1250000
x x

    The solution of the equation:
        x1≈-187.969925 , keep 6 decimal places
        x2≈-142.857143 , keep 6 decimal places
        x3≈-70.524412 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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