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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 x*x*(1+0.25x*x)*(1+(x*x)/36) = 49 .
    Question type: Equation
    Solution:Original question:
      x x (1 +
1
4
x x )(1 + ( x x ) ÷ 36) = 49
    Remove the bracket on the left of the equation:
     Left side of the equation = x x × 1(1 + ( x x ) ÷ 36) + x x ×
1
4
x x (1 + ( x x ) ÷ 36)
                                             = x x × 1 × 1 + x x × 1( x x ) ÷ 36 + x x ×
1
4
                                             = x x × 1 + x x ×
1
36
( x x ) + x x ×
1
4
x x
                                             = x x × 1 + x x ×
1
36
x x + x x ×
1
4
x
                                             = x x × 1 + x x ×
1
36
x x + x x ×
1
4
x
                                             = x x × 1 + x x ×
1
36
x x + x x ×
1
4
x
                                             = x x × 1 + x x ×
1
36
x x + x x ×
1
4
x
    The equation is transformed into :
      x x × 1 + x x ×
1
36
x x + x x ×
1
4
x = 49

    The solution of the equation:
        x1≈-3.237594 , keep 6 decimal places
        x2≈3.237594 , 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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