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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 2.5*11a+2.5*9*3280+2.5*2*3620 = 15*1.06*1.2*1.3/3280*(a+3280)*(a+3620) .
    Question type: Equation
    Solution:Original question:
     
5
2
× 11 a +
5
2
× 9 × 3280 +
5
2
× 2 × 3620 = 15 ×
53
50
×
6
5
×
13
10
÷ 3280 × ( a + 3280)( a + 3620)
     Left side of the equation =
55
2
a + 73800 + 18100
                                             =
55
2
a + 91900
    The equation is transformed into :
     
55
2
a + 91900 = 15 ×
53
50
×
6
5
×
13
10
÷ 3280 × ( a + 3280)( a + 3620)
     Right side of the equation =
6201
820000
( a + 3280)( a + 3620)
    The equation is transformed into :
     
55
2
a + 91900 =
6201
820000
( a + 3280)( a + 3620)
    Remove the bracket on the right of the equation:
     Right side of the equation =
6201
820000
a ( a + 3620) +
6201
820000
× 3280( a + 3620)
                                               =
6201
820000
a ( a + 3620) +
6201
250
( a + 3620)
                                               =
6201
820000
a a +
6201
820000
a × 3620 +
6201
250
( a + 3620)
                                               =
6201
820000
a a +
1122381
41000
a +
6201
250
( a + 3620)
                                               =
6201
820000
a a +
1122381
41000
a +
6201
250
a +
6201
250
× 3620
                                               =
6201
820000
a a +
1122381
41000
a +
6201
250
a +
2244762
25
                                               =
6201
820000
a a +
427869
8200
a +
2244762
25
    The equation is transformed into :
     
55
2
a + 91900 =
6201
820000
a a +
427869
8200
a +
2244762
25

    
        a≈83.349109 , 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》



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