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 4-3(100-x)(100-x)/1600 = 3.58 .
    Question type: Equation
    Solution:Original question:
     43(100 x )(100 x ) ÷ 1600 =
179
50
     Left side of the equation = 4
3
1600
(100 x )(100 x )
    The equation is transformed into :
     4
3
1600
(100 x )(100 x ) =
179
50
    Remove the bracket on the left of the equation:
     Left side of the equation = 4
3
1600
× 100(100 x ) +
3
1600
x (100 x )
                                             = 4
3
16
(100 x ) +
3
1600
x (100 x )
                                             = 4
3
16
× 100 +
3
16
x +
3
1600
x (100 x )
                                             = 4
75
4
+
3
16
x +
3
1600
x (100 x )
                                             = -
59
4
+
3
16
x +
3
1600
x (100 x )
                                             = -
59
4
+
3
16
x +
3
1600
x × 100
3
1600
x x
                                             = -
59
4
+
3
16
x +
3
16
x
3
1600
x x
                                             = -
59
4
+
3
8
x
3
1600
x x
    The equation is transformed into :
      -
59
4
+
3
8
x
3
1600
x x =
179
50

    The solution of the equation:
        x1≈85.033370 , keep 6 decimal places
        x2≈114.966630 , 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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