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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 -0.5(3-0.5xx)(x+3)-(2-x)(2-0.5xx)+(5-xx)*2.5 = 5 .
    Question type: Equation
    Solution:Original question:
      -
1
2
(3
1
2
x x )( x + 3)(2 x )(2
1
2
x x ) + (5 x x ) ×
5
2
= 5
    Remove the bracket on the left of the equation:
     Left side of the equation = -
1
2
× 3( x + 3) +
1
2
×
1
2
x x ( x + 3)(2 x )(2
1
2
x x ) + (5 x x ) ×
5
2
                                             = -
3
2
( x + 3) +
1
4
x x ( x + 3)(2 x )(2
1
2
x x ) + (5 x x ) ×
5
2
                                             = -
3
2
x
3
2
× 3 +
1
4
x x ( x + 3)(2 x )(2
1
2
x x ) + (5 x x ) ×
5
2
                                             = -
3
2
x
9
2
+
1
4
x x ( x + 3)(2 x )(2
1
2
x x ) + (5 x x ) ×
5
2
                                             = -
3
2
x
9
2
+
1
4
x x x +
1
4
x x × 3(2 x )
                                             = -
3
2
x
9
2
+
1
4
x x x +
3
4
x x (2 x )(2
1
2
x x )
                                             = -
3
2
x
9
2
+
1
4
x x x +
3
4
x x 2(2
1
2
x x )
                                             = -
3
2
x
9
2
+
1
4
x x x +
3
4
x x 2 × 2
                                             = -
3
2
x
9
2
+
1
4
x x x +
3
4
x x 4 + 1
                                             = -
3
2
x
17
2
+
1
4
x x x +
3
4
x x + 1 x
                                             = -
3
2
x
17
2
+
1
4
x x x +
3
4
x x + 1 x
                                             =
1
2
x
17
2
+
1
4
x x x +
3
4
x x + 1 x
                                             =
1
2
x
17
2
+
1
4
x x x +
3
4
x x + 1 x
                                             =
1
2
x
17
2
+
1
4
x x x +
3
4
x x + 1 x
                                             =
1
2
x + 4 +
1
4
x x x +
3
4
x x + 1 x
    The equation is transformed into :
     
1
2
x + 4 +
1
4
x x x +
3
4
x x + 1 x = 5

    the solutions is:
        x≈-3.802589 , keep 6 decimal places
    
    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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