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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 (130.24+9.8h)h*[12-(195.36+9.8h)/(130.24+9.8h)] = 1982.7 .
    Question type: Equation
    Solution:Original question:
     (
3256
25
+
49
5
h ) h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
19827
10
    Remove a bracket on the left of the equation::
     
3256
25
h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
19827
10
    Remove a bracket on the left of the equation:
     
3256
25
h × 12
3256
25
h (
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h ) +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
19827
10
    The equation is reduced to :
     
39072
25
h
3256
25
h (
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h ) +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
19827
10
     Multiply both sides of the equation by:(
3256
25
+
49
5
h )
     
39072
25
h (
3256
25
+
49
5
h )
3256
25
h (
4884
25
+
49
5
h ) +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h ))(
3256
25
+
49
5
h ) =
19827
10
(
3256
25
+
49
5
h )
    Remove a bracket on the left of the equation:
     
39072
25
h ×
3256
25
+
39072
25
h ×
49
5
h
3256
25
h (
4884
25
+
49
5
h ) +
49
5
h =
19827
10
(
3256
25
+
49
5
h )
    Remove a bracket on the right of the equation::
     
39072
25
h ×
3256
25
+
39072
25
h ×
49
5
h
3256
25
h (
4884
25
+
49
5
h ) +
49
5
h =
19827
10
×
3256
25
+
19827
10
×
49
5
h
    The equation is reduced to :
     
127218432
625
h +
1914528
125
h h
3256
25
h (
4884
25
+
49
5
h ) +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
32278356
125
+
971523
50
h
    Remove a bracket on the left of the equation:
     
127218432
625
h +
1914528
125
h h
3256
25
h ×
4884
25
3256
25
h ×
49
5
h =
32278356
125
+
971523
50
h
    The equation is reduced to :
     
127218432
625
h +
1914528
125
h h
15902304
625
h
159544
125
h h +
49
5
h =
32278356
125
+
971523
50
h
    The equation is reduced to :
     
111316128
625
h +
1914528
125
h h
159544
125
h h +
49
5
h h (12(
4884
25
+
49
5
h ) ÷ (
3256
25
+
49
5
h )) =
32278356
125
+
971523
50
h
    Remove a bracket on the left of the equation:
     
111316128
625
h +
1914528
125
h h
159544
125
h h +
49
5
h h × 12 =
32278356
125
+
971523
50
h
    The equation is reduced to :
     
111316128
625
h +
1914528
125
h h
159544
125
h h +
588
5
h h (
3256
25
+
49
5
h ) =
32278356
125
+
971523
50
h
     Multiply both sides of the equation by:(
3256
25
+
49
5
h )
     
111316128
625
h (
3256
25
+
49
5
h ) +
1914528
125
h h (
3256
25
+
49
5
h )
159544
125
h h (
3256
25
+
49
5
h ) +
588
5
=
32278356
125
(
3256
25
+
49
5
h ) +
971523
50
h (
3256
25
+
49
5
h )
    Remove a bracket on the left of the equation:
     
111316128
625
h ×
3256
25
+
111316128
625
h ×
49
5
h +
1914528
125
h h (
3256
25
+
49
5
h )
159544
125
=
32278356
125
(
3256
25
+
49
5
h ) +
971523
50
h (
3256
25
+
49
5
h )
    Remove a bracket on the right of the equation::
     
111316128
625
h ×
3256
25
+
111316128
625
h ×
49
5
h +
1914528
125
h h (
3256
25
+
49
5
h )
159544
125
=
32278356
125
×
3256
25
+
32278356
125
×
49
5
h +
971523
50
h (
3256
25
+
49
5
h )

    The solution of the equation:
        h1≈-13.999503 , keep 6 decimal places
        h2≈1.313789 , 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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