Mathematics
         
语言:中文    Language:English
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 (950-x)×(0.29+0.000256×(950+x)÷2) = 0.23×641.5 .
    Question type: Equation
    Solution:Original question:
     (950 x )(
29
100
+
4
15625
(950 + x ) ÷ 2) =
23
100
×
1283
2
    Remove the bracket on the left of the equation:
     Left side of the equation = 950(
29
100
+
4
15625
(950 + x ) ÷ 2) x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             = 950 ×
29
100
+ 950 ×
4
15625
(950 + x ) ÷ 2 x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             =
551
2
+
76
625
(950 + x ) x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             =
551
2
+
76
625
× 950 +
76
625
x x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             =
551
2
+
2888
25
+
76
625
x x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             =
19551
50
+
76
625
x x (
29
100
+
4
15625
(950 + x ) ÷ 2)
                                             =
19551
50
+
76
625
x x ×
29
100
x ×
4
15625
(950 + x ) ÷ 2
                                             =
19551
50
+
76
625
x x ×
29
100
x ×
2
15625
(950 + x )
                                             =
19551
50
421
2500
x x ×
2
15625
(950 + x )
                                             =
19551
50
421
2500
x x ×
2
15625
× 950 x ×
2
15625
x
                                             =
19551
50
421
2500
x x ×
76
625
x ×
2
15625
x
                                             =
19551
50
29
100
x x ×
2
15625
x
    The equation is transformed into :
     
19551
50
29
100
x x ×
2
15625
x =
23
100
×
1283
2
     Right side of the equation =
29509
200
    The equation is transformed into :
     
19551
50
29
100
x x ×
2
15625
x =
29509
200

    
        x≈651.959922 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。