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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 86*86 = x*x*(1+0.02*0.02*x*x)*(1+0.03*0.03*x*x) .
    Question type: Equation
    Solution:Original question:
     86 × 86 = x x (1 +
1
50
×
1
50
x x )(1 +
3
100
×
3
100
x x )
     Left side of the equation = 7396
    The equation is transformed into :
     7396 = x x (1 +
1
50
×
1
50
x x )(1 +
3
100
×
3
100
x x )
    Remove the bracket on the right of the equation:
     Right side of the equation = x x × 1(1 +
3
100
×
3
100
x x ) + x x ×
1
50
×
1
50
x x (1 +
3
100
×
3
100
x x )
                                               = x x × 1(1 +
3
100
×
3
100
x x ) + x x ×
1
2500
x x (1 +
3
100
×
3
100
x x )
                                               = x x × 1 × 1 + x x × 1 ×
3
100
×
3
100
x x + x
                                               = x x × 1 + x x ×
9
10000
x x + x x ×
1
2500
x
                                               = x x × 1 + x x ×
9
10000
x x + x x ×
1
2500
x
                                               = x x × 1 + x x ×
9
10000
x x + x x ×
1
2500
x
    The equation is transformed into :
     7396 = x x × 1 + x x ×
9
10000
x x + x x ×
1
2500
x

    The solution of the equation:
        x1≈-41.470432 , keep 6 decimal places
        x2≈41.470432 , 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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