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    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 (750-x)(0.7+0.00058((750+x)/2)) = 9.68502 .
    Question type: Equation
    Solution:Original question:
     (750 x )(
7
10
+
29
50000
((750 + x ) ÷ 2)) =
484251
50000
    Remove the bracket on the left of the equation:
     Left side of the equation = 750(
7
10
+
29
50000
((750 + x ) ÷ 2)) x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 750 ×
7
10
+ 750 ×
29
50000
((750 + x ) ÷ 2) x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 525 +
87
200
((750 + x ) ÷ 2) x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 525 +
87
200
(750 + x ) ÷ 2 x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 525 +
87
400
(750 + x ) x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 525 +
87
400
× 750 +
87
400
x x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             = 525 +
1305
8
+
87
400
x x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             =
5505
8
+
87
400
x x (
7
10
+
29
50000
((750 + x ) ÷ 2))
                                             =
5505
8
+
87
400
x x ×
7
10
x ×
29
50000
((750 + x ) ÷ 2)
                                             =
5505
8
193
400
x x ×
29
50000
((750 + x ) ÷ 2)
                                             =
5505
8
193
400
x x ×
29
50000
(750 + x ) ÷ 2
                                             =
5505
8
193
400
x x ×
29
100000
(750 + x )
                                             =
5505
8
193
400
x x ×
29
100000
× 750 x ×
29
100000
x
                                             =
5505
8
193
400
x x ×
87
400
x ×
29
100000
x
                                             =
5505
8
7
10
x x ×
29
100000
x
    The equation is transformed into :
     
5505
8
7
10
x x ×
29
100000
x =
484251
50000

    
        x≈741.448257 , keep 6 decimal places
    
    There are 1 solution(s).


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