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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 (55-x)÷100×(10-2x)×100×(10-2x)÷(2x÷100)÷(2x÷100) = 0.000015 .
    Question type: Equation
    Solution:Original question:
     (55 x ) ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) ÷ (2 x ÷ 100) =
3
200000
     Multiply both sides of the equation by:(2 x ÷ 100)
     (55 x ) ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) =
3
200000
(2 x ÷ 100)
    Remove a bracket on the left of the equation::
     55 ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) x ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) =
3
200000
(2 x ÷ 100)
    Remove a bracket on the right of the equation::
     55 ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) x ÷ 100 × (102 x ) × 100(102 x ) ÷ (2 x ÷ 100) =
3
200000
× 2 x ÷ 100
    The equation is reduced to :
     55(102 x )(102 x ) ÷ (2 x ÷ 100) x × 1(102 x )(102 x ) ÷ (2 x ÷ 100) =
3
10000000
x
     Multiply both sides of the equation by:(2 x ÷ 100)
     55(102 x )(102 x )1 × 1(102 x )(102 x ) ÷ (2 × 1 ÷ 100) × (2 x ÷ 100) =
3
10000000
x (2 x ÷ 100)
    Remove a bracket on the left of the equation:
     55 × 10(102 x )55 × 2 x (102 x )1 × 1(102 x )(102 x ) ÷ (2 × 1 ÷ 100) =
3
10000000
x (2 x ÷ 100)
    Remove a bracket on the right of the equation::
     55 × 10(102 x )55 × 2 x (102 x )1 × 1(102 x )(102 x ) ÷ (2 × 1 ÷ 100) =
3
10000000
x × 2 x ÷ 100
    The equation is reduced to :
     550(102 x )110 x (102 x )1(102 x )(102 x ) ÷ (2 × 1 ÷ 100) × (2 x ÷ 100) =
3
500000000
x x
     Multiply both sides of the equation by:(2 × 1 ÷ 100)
     550(102 x )(2 × 1 ÷ 100)110 x (102 x )(2 × 1 ÷ 100)1(102 x )(102 x )(2 x ÷ 100) =
3
500000000
x x (2 × 1 ÷ 100)
    Remove a bracket on the left of the equation:
     550 × 10(2 × 1 ÷ 100)550 × 2 x (2 × 1 ÷ 100)110 x (102 x )(2 × 1 ÷ 100)1 =
3
500000000
x x (2 × 1 ÷ 100)
    Remove a bracket on the right of the equation::
     550 × 10(2 × 1 ÷ 100)550 × 2 x (2 × 1 ÷ 100)110 x (102 x )(2 × 1 ÷ 100)1 =
3
500000000
x x × 2 × 1 ÷ 100

    the solutions is:
        x=55, it is the incremental root of the eqution.
    
    There are 1 solution(s).

    There is(are) 1 additive root(s) and 0 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解方程的详细方法请参阅:《方程的解法》



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