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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 (10*s+1)(2*s+1)/(100*s+1)/(0.2*s+1) = 1 .
    Question type: Equation
    Solution:Original question:
     (10 s + 1)(2 s + 1) ÷ (100 s + 1) ÷ (
1
5
s + 1) = 1
     Multiply both sides of the equation by:(100 s + 1)
     (10 s + 1)(2 s + 1) ÷ (
1
5
s + 1) = 1(100 s + 1)
    Remove a bracket on the left of the equation::
     10 s (2 s + 1) ÷ (
1
5
s + 1) + 1(2 s + 1) ÷ (
1
5
s + 1) = 1(100 s + 1)
    Remove a bracket on the right of the equation::
     10 s (2 s + 1) ÷ (
1
5
s + 1) + 1(2 s + 1) ÷ (
1
5
s + 1) = 1 × 100 s + 1 × 1
    The equation is reduced to :
     10 s (2 s + 1) ÷ (
1
5
s + 1) + 1(2 s + 1) ÷ (
1
5
s + 1) = 100 s + 1
     Multiply both sides of the equation by:(
1
5
s + 1)
     10 s (2 s + 1) + 1(2 s + 1) = 100 s (
1
5
s + 1) + 1(
1
5
s + 1)
    Remove a bracket on the left of the equation:
     10 s × 2 s + 10 s × 1 + 1(2 s + 1) = 100 s (
1
5
s + 1) + 1(
1
5
s + 1)
    Remove a bracket on the right of the equation::
     10 s × 2 s + 10 s × 1 + 1(2 s + 1) = 100 s ×
1
5
s + 100 s × 1 + 1(
1
5
s + 1)
    The equation is reduced to :
     20 s s + 10 s + 1(2 s + 1) = 20 s s + 100 s + 1(
1
5
s + 1)
    Remove a bracket on the left of the equation:
     20 s s + 10 s + 1 × 2 s + 1 × 1 = 20 s s + 100 s + 1(
1
5
s + 1)
    Remove a bracket on the right of the equation::
     20 s s + 10 s + 1 × 2 s + 1 × 1 = 20 s s + 100 s + 1 ×
1
5
s + 1 × 1
    The equation is reduced to :
     20 s s + 10 s + 2 s + 1 = 20 s s + 100 s +
1
5
s + 1
    The equation is reduced to :
     20 s s + 12 s + 1 = 20 s s +
501
5
s + 1
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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