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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 0.5*4.71*(35*5+65*(h-5))+0.7*0.8*1.77*(330+2.5*(8.5*5+9.5*(h-5))/h*(h-3)) = 4280.533/2+11.486*5+9.719*(h-5) .
    Question type: Equation
    Solution:Original question:
     
1
2
×
471
100
(35 × 5 + 65( h 5)) +
7
10
×
4
5
×
177
100
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4280533
1000
÷ 2 +
5743
500
× 5 +
9719
1000
( h 5)
    Remove a bracket on the left of the equation::
     
1
2
×
471
100
× 35 × 5 +
1
2
×
471
100
× 65( h 5) +
7
10
×
4
5
×
177
100
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4280533
1000
÷ 2 +
5743
500
× 5 +
9719
1000
( h 5)
    Remove a bracket on the right of the equation::
     
1
2
×
471
100
× 35 × 5 +
1
2
×
471
100
× 65( h 5) +
7
10
×
4
5
×
177
100
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4280533
1000
÷ 2 +
5743
500
× 5 +
9719
1000
h
9719
1000
× 5
    The equation is reduced to :
     
3297
8
+
6123
40
( h 5) +
1239
1250
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4280533
2000
+
5743
100
+
9719
1000
h
9719
200
    The equation is reduced to :
     
3297
8
+
6123
40
( h 5) +
1239
1250
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4298203
2000
+
9719
1000
h
    Remove a bracket on the left of the equation:
     
3297
8
+
6123
40
h
6123
40
× 5 +
1239
1250
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4298203
2000
+
9719
1000
h
    The equation is reduced to :
     
3297
8
+
6123
40
h
6123
8
+
1239
1250
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4298203
2000
+
9719
1000
h
    The equation is reduced to :
      -
1413
4
+
6123
40
h +
1239
1250
(330 +
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3)) =
4298203
2000
+
9719
1000
h
    Remove a bracket on the left of the equation:
      -
1413
4
+
6123
40
h +
1239
1250
× 330 +
1239
1250
×
5
2
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3) =
4298203
2000
+
9719
1000
h
    The equation is reduced to :
      -
1413
4
+
6123
40
h +
40887
125
+
1239
500
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3) =
4298203
2000
+
9719
1000
h
    The equation is reduced to :
      -
13077
500
+
6123
40
h +
1239
500
(
17
2
× 5 +
19
2
( h 5)) ÷ h × ( h 3) =
4298203
2000
+
9719
1000
h
     Multiply both sides of the equation by: h
      -
13077
500
h +
6123
40
h h +
1239
500
(
17
2
× 5 +
19
2
( h 5))( h 3) =
4298203
2000
h +
9719
1000
h h
    Remove a bracket on the left of the equation:
      -
13077
500
h +
6123
40
h h +
1239
500
×
17
2
× 5( h 3) +
1239
500
×
19
2
( h 5) =
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
      -
13077
500
h +
6123
40
h h +
21063
200
( h 3) +
23541
1000
( h 5)( h 3) =
4298203
2000
h +
9719
1000
h h
    Remove a bracket on the left of the equation:
      -
13077
500
h +
6123
40
h h +
21063
200
h
21063
200
× 3 +
23541
1000
( h 5)( h 3) =
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
      -
13077
500
h +
6123
40
h h +
21063
200
h
63189
200
+
23541
1000
( h 5)( h 3) =
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
     
79161
1000
h +
6123
40
h h
63189
200
+
23541
1000
( h 5)( h 3) =
4298203
2000
h +
9719
1000
h h
    Remove a bracket on the left of the equation:
     
79161
1000
h +
6123
40
h h
63189
200
+
23541
1000
h ( h 3)
23541
1000
× 5( h 3) =
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
     
79161
1000
h +
6123
40
h h
63189
200
+
23541
1000
h ( h 3)
23541
200
( h 3) =
4298203
2000
h +
9719
1000
h h
    Remove a bracket on the left of the equation:
     
79161
1000
h +
6123
40
h h
63189
200
+
23541
1000
h h
23541
1000
h × 3 =
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
     
79161
1000
h +
6123
40
h h
63189
200
+
23541
1000
h h
70623
1000
h
23541
200
=
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
     
4269
500
h +
6123
40
h h
63189
200
+
23541
1000
h h
23541
200
( h 3) =
4298203
2000
h +
9719
1000
h h
    Remove a bracket on the left of the equation:
     
4269
500
h +
6123
40
h h
63189
200
+
23541
1000
h h
23541
200
h +
23541
200
=
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
     
4269
500
h +
6123
40
h h
63189
200
+
23541
1000
h h
23541
200
h +
70623
200
=
4298203
2000
h +
9719
1000
h h
    The equation is reduced to :
      -
109167
1000
h +
6123
40
h h +
3717
100
+
23541
1000
h h =
4298203
2000
h +
9719
1000
h h
    The equation can be reduced to :
      -
109167
1000
h +
6123
40
h h +
3717
100
+
23541
1000
h h =
4298203
2000
h +
9719
1000
h h

    The solution of the equation:
        h1≈0.016480 , keep 6 decimal places
        h2≈13.514432 , 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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