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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 (x-5)×(0.447-0.015x) = (10-x)×(0.017x+0.814) .
    Question type: Equation
    Solution:Original question:
     ( x 5)(
447
1000
3
200
x ) = (10 x )(
17
1000
x +
407
500
)
    Remove the bracket on the left of the equation:
     Left side of the equation = x (
447
1000
3
200
x )5(
447
1000
3
200
x )
                                             = x ×
447
1000
x ×
3
200
x 5(
447
1000
3
200
x )
                                             =
447
1000
x x ×
3
200
x 5 ×
447
1000
+ 5 ×
3
200
x
                                             =
447
1000
x x ×
3
200
x
447
200
+
3
40
x
                                             =
261
500
x x ×
3
200
x
447
200
    The equation is transformed into :
     
261
500
x x ×
3
200
x
447
200
= (10 x )(
17
1000
x +
407
500
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 10(
17
1000
x +
407
500
) x (
17
1000
x +
407
500
)
                                               = 10 ×
17
1000
x + 10 ×
407
500
x (
17
1000
x +
407
500
)
                                               =
17
100
x +
407
50
x (
17
1000
x +
407
500
)
                                               =
17
100
x +
407
50
x ×
17
1000
x x ×
407
500
                                               = -
161
250
x +
407
50
x ×
17
1000
x
    The equation is transformed into :
     
261
500
x x ×
3
200
x
447
200
= -
161
250
x +
407
50
x ×
17
1000
x

    the solutions is:
        x≈8.766132 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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