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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 31.6*31.6 = a*a*[1+a*a/(31.6*31.6)] .
    Question type: Equation
    Solution:Original question:
     
158
5
×
158
5
= a a (1 + a a ÷ (
158
5
×
158
5
))
    Remove a bracket on the right of the equation::
     
158
5
×
158
5
= a a × 1 + a a a a ÷ (
158
5
×
158
5
)
    The equation is reduced to :
     
24964
25
= a a × 1 + a a a a ÷ (
158
5
×
158
5
)
     Multiply both sides of the equation by:(
158
5
×
158
5
)
     
24964
25
(
158
5
×
158
5
) = a a × 1(
158
5
×
158
5
) + a a a a
    Remove a bracket on the left of the equation:
     
24964
25
×
158
5
×
158
5
= a a × 1(
158
5
×
158
5
) + a a a a
    Remove a bracket on the right of the equation::
     
24964
25
×
158
5
×
158
5
= a a × 1 ×
158
5
×
158
5
+ a a a a
    The equation is reduced to :
     
623201296
625
= a a ×
24964
25
+ a a a a

    The solution of the equation:
        a1≈-24.842384 , keep 6 decimal places
        a2≈24.842384 , 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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