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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 (0.88-X)/(X-0.84) = (0.0307-X)/(X-0.0416) .
    Question type: Equation
    Solution:Original question:
     (
22
25
X ) ÷ ( X
21
25
) = (
307
10000
X ) ÷ ( X
26
625
)
     Multiply both sides of the equation by:( X
21
25
) ,  ( X
26
625
)
     (
22
25
X )( X
26
625
) = (
307
10000
X )( X
21
25
)
    Remove a bracket on the left of the equation::
     
22
25
( X
26
625
) X ( X
26
625
) = (
307
10000
X )( X
21
25
)
    Remove a bracket on the right of the equation::
     
22
25
( X
26
625
) X ( X
26
625
) =
307
10000
( X
21
25
) X ( X
21
25
)
    Remove a bracket on the left of the equation:
     
22
25
X
22
25
×
26
625
X ( X
26
625
) =
307
10000
( X
21
25
) X ( X
21
25
)
    Remove a bracket on the right of the equation::
     
22
25
X
22
25
×
26
625
X ( X
26
625
) =
307
10000
X
307
10000
×
21
25
X ( X
21
25
)
    The equation is reduced to :
     
22
25
X
572
15625
X ( X
26
625
) =
307
10000
X
6447
250000
X ( X
21
25
)
    Remove a bracket on the left of the equation:
     
22
25
X
572
15625
X X + X ×
26
625
=
307
10000
X
6447
250000
X ( X
21
25
)
    Remove a bracket on the right of the equation::
     
22
25
X
572
15625
X X + X ×
26
625
=
307
10000
X
6447
250000
X X + X ×
21
25
    The equation is reduced to :
     
576
625
X
572
15625
X X =
8707
10000
X
6447
250000
X X

    the solutions is:
        X≈0.212574 , 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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