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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 7500/(x+9.9+11.88)+10000/(x+9.9)+10000/241 = 143 .
    Question type: Equation
    Solution:Original question:
     7500 ÷ ( x +
99
10
+
297
25
) + 10000 ÷ ( x +
99
10
) + 10000 ÷ 241 = 143
     Multiply both sides of the equation by:( x +
99
10
+
297
25
)
     7500 + 10000 ÷ ( x +
99
10
) × ( x +
99
10
+
297
25
) + 10000 ÷ 241 × ( x +
99
10
+
297
25
) = 143( x +
99
10
+
297
25
)
    Remove a bracket on the left of the equation::
     7500 + 10000 ÷ ( x +
99
10
) × x + 10000 ÷ ( x +
99
10
) ×
99
10
+ 10000 ÷ ( x +
99
10
) ×
297
25
+ 10000 ÷ 241 = 143( x +
99
10
+
297
25
)
    Remove a bracket on the right of the equation::
     7500 + 10000 ÷ ( x +
99
10
) × x + 10000 ÷ ( x +
99
10
) ×
99
10
+ 10000 ÷ ( x +
99
10
) ×
297
25
+ 10000 ÷ 241 = 143 x + 143 ×
99
10
+ 143 ×
297
25
    The equation is reduced to :
     7500 + 10000 ÷ ( x +
99
10
) × x + 99000 ÷ ( x +
99
10
) + 118800 ÷ ( x +
99
10
) +
10000
241
( x +
99
10
+
297
25
) = 143 x +
14157
10
+
42471
25
    The equation is reduced to :
     7500 + 10000 ÷ ( x +
99
10
) × x + 99000 ÷ ( x +
99
10
) + 118800 ÷ ( x +
99
10
) +
10000
241
( x +
99
10
+
297
25
) = 143 x +
155727
50
     Multiply both sides of the equation by:( x +
99
10
)
     7500( x +
99
10
) + 10000 x + 99000 + 118800 +
10000
241
( x +
99
10
+
297
25
)( x +
99
10
) = 143 x ( x +
99
10
) +
155727
50
( x +
99
10
)
    Remove a bracket on the left of the equation:
     7500 x + 7500 ×
99
10
+ 10000 x + 99000 + 118800 +
10000
241
( x +
99
10
+
297
25
)( x +
99
10
) = 143 x ( x +
99
10
) +
155727
50
( x +
99
10
)
    Remove a bracket on the right of the equation::
     7500 x + 7500 ×
99
10
+ 10000 x + 99000 + 118800 +
10000
241
( x +
99
10
+
297
25
)( x +
99
10
) = 143 x x + 143 x ×
99
10
+
155727
50
( x +
99
10
)
    The equation is reduced to :
     7500 x + 74250 + 10000 x + 99000 + 118800 +
10000
241
( x +
99
10
+
297
25
)( x +
99
10
) = 143 x x +
14157
10
x +
155727
50
( x +
99
10
)
    The equation is reduced to :
     17500 x + 292050 +
10000
241
( x +
99
10
+
297
25
)( x +
99
10
) = 143 x x +
14157
10
x +
155727
50
( x +
99
10
)
    Remove a bracket on the left of the equation:
     17500 x + 292050 +
10000
241
x ( x +
99
10
) +
10000
241
×
99
10
( x +
99
10
) +
10000
241
×
297
25
( x +
99
10
) = 143 x x +
14157
10
x +
155727
50
( x +
99
10
)
    Remove a bracket on the right of the equation::
     17500 x + 292050 +
10000
241
x ( x +
99
10
) +
10000
241
×
99
10
( x +
99
10
) +
10000
241
×
297
25
( x +
99
10
) = 143 x x +
14157
10
x +
155727
50
x +
155727
50
×
99
10
    The equation is reduced to :
     17500 x + 292050 +
10000
241
x ( x +
99
10
) +
99000
241
( x +
99
10
) +
118800
241
( x +
99
10
) = 143 x x +
14157
10
x +
155727
50
x +
15416973
500
    The equation is reduced to :
     17500 x + 292050 +
10000
241
x ( x +
99
10
) +
99000
241
( x +
99
10
) +
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    Remove a bracket on the left of the equation:
     17500 x + 292050 +
10000
241
x x +
10000
241
x ×
99
10
+
99000
241
( x +
99
10
) +
118800
241
= 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     17500 x + 292050 +
10000
241
x x +
99000
241
x +
99000
241
( x +
99
10
) +
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     
4316500
241
x + 292050 +
10000
241
x x +
99000
241
( x +
99
10
) +
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    Remove a bracket on the left of the equation:
     
4316500
241
x + 292050 +
10000
241
x x +
99000
241
x +
99000
241
×
99
10
+
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     
4316500
241
x + 292050 +
10000
241
x x +
99000
241
x +
980100
241
+
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     
4415500
241
x +
71364150
241
+
10000
241
x x +
118800
241
( x +
99
10
) = 143 x x +
113256
25
x +
15416973
500
    Remove a bracket on the left of the equation:
     
4415500
241
x +
71364150
241
+
10000
241
x x +
118800
241
x +
118800
241
×
99
10
= 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     
4415500
241
x +
71364150
241
+
10000
241
x x +
118800
241
x +
1176120
241
= 143 x x +
113256
25
x +
15416973
500
    The equation is reduced to :
     
4534300
241
x +
72540270
241
+
10000
241
x x = 143 x x +
113256
25
x +
15416973
500
    The equation can be reduced to :
     
4534300
241
x +
72540270
241
+
10000
241
x x = 143 x x +
113256
25
x +
15416973
500

    The solution of the equation:
        x1≈-16.886872 , keep 6 decimal places
        x2≈157.610093 , 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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