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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 a×[(a+a+6)÷2]×(a+6) = 84788 .
    Question type: Equation
    Solution:Original question:
      a (( a + a + 6) ÷ 2)( a + 6) = 84788
    Remove the bracket on the left of the equation:
     Left side of the equation = a ( a + a + 6) ÷ 2 × ( a + 6)
                                             = a a ×
1
2
( a + 6) + a a ×
1
2
( a + 6) + a × 6 ×
1
2
( a + 6)
                                             = a a ×
1
2
( a + 6) + a a ×
1
2
( a + 6) + a × 3( a + 6)
                                             = a a ×
1
2
a + a a ×
1
2
× 6 + a a ×
1
2
( a + 6)
                                             = a a ×
1
2
a + a a × 3 + a a ×
1
2
( a + 6) + a
                                             = a a ×
1
2
a + a a × 3 + a a ×
1
2
a + a
                                             = a a ×
1
2
a + a a × 3 + a a ×
1
2
a + a
                                             = a a ×
1
2
a + a a × 3 + a a ×
1
2
a + a
                                             = a a ×
1
2
a + a a × 3 + a a ×
1
2
a + a
    The equation is transformed into :
      a a ×
1
2
a + a a × 3 + a a ×
1
2
a + a = 84788

    the solutions is:
        a=41
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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