Mathematics
         
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    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 9x+4(100-x) = [10x+6x(100-x)](1-25%) .
    Question type: Equation
    Solution:Original question:
     9 x + 4(100 x ) = (10 x + 6 x (100 x ))(1
25
100
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 9 x + 4 × 1004 x
                                             = 9 x + 4004 x
                                             = 5 x + 400
    The equation is transformed into :
     5 x + 400 = (10 x + 6 x (100 x ))(1
25
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 10 x (1
25
100
) + 6 x (100 x )(1
25
100
)
                                               = 10 x × 110 x ×
25
100
+ 6 x (100 x )(1
25
100
)
                                               = 10 x
5
2
x + 6 x (100 x )(1
25
100
)
                                               =
15
2
x + 6 x (100 x )(1
25
100
)
                                               =
15
2
x + 6 x × 100(1
25
100
)6 x x (1
25
100
)
                                               =
15
2
x + 600 x (1
25
100
)6 x x (1
25
100
)
                                               =
15
2
x + 600 x × 1600 x ×
25
100
6 x x (1
25
100
)
                                               =
15
2
x + 600 x 150 x 6 x x (1
25
100
)
                                               =
915
2
x 6 x x (1
25
100
)
                                               =
915
2
x 6 x x × 1 + 6 x x ×
25
100
                                               =
915
2
x 6 x x +
3
2
x x
    The equation is transformed into :
     5 x + 400 =
915
2
x 6 x x +
3
2
x x

    
        x≈-0.672269 , keep 6 decimal places
    
    There are 1 solution(s).


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