Mathematics
         
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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 (8+x)×(3+x)÷2 = x×x .
    Question type: Equation
    Solution:Original question:
     (8 + x )(3 + x ) ÷ 2 = x x
    Remove the bracket on the left of the equation:
     Left side of the equation = 8(3 + x ) ×
1
2
+ x (3 + x ) ×
1
2
                                             = 4(3 + x ) + x (3 + x ) ×
1
2
                                             = 4 × 3 + 4 x + x (3 + x ) ×
1
2
                                             = 12 + 4 x + x (3 + x ) ×
1
2
                                             = 12 + 4 x + x × 3 ×
1
2
+ x x ×
1
2
                                             = 12 + 4 x + x ×
3
2
+ x x ×
1
2
                                             = 12 +
11
2
x + x x ×
1
2
    The equation is transformed into :
     12 +
11
2
x + x x ×
1
2
= x x

    The solution of the equation:
        x1≈-1.865460 , keep 6 decimal places
        x2≈12.865460 , 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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