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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 (49.8-X)*60*(2739/480*1410/1000) = (60.6-X)*60*(2739/480*2260/1000)*2260/1410 .
    Question type: Equation
    Solution:Original question:
     (
249
5
X ) × 60(2739 ÷ 480 × 1410 ÷ 1000) = (
303
5
X ) × 60(2739 ÷ 480 × 2260 ÷ 1000) × 2260 ÷ 1410
    Remove the bracket on the left of the equation:
     Left side of the equation =
249
5
× 60(2739 ÷ 480 × 1410 ÷ 1000) X × 60(2739 ÷ 480 × 1410 ÷ 1000)
                                             = 2988(2739 ÷ 480 × 1410 ÷ 1000) X × 60(2739 ÷ 480 × 1410 ÷ 1000)
                                             = 2988 × 2739 ÷ 480 × 1410 ÷ 1000 X × 60(2739 ÷ 480 × 1410 ÷ 1000)
                                             =
96163551
4000
X × 60(2739 ÷ 480 × 1410 ÷ 1000)
                                             =
96163551
4000
X × 60 × 2739 ÷ 480 × 1410 ÷ 1000
                                             =
96163551
4000
X ×
386199
800
    The equation is transformed into :
     
96163551
4000
386199
800
X = (
303
5
X ) × 60(2739 ÷ 480 × 2260 ÷ 1000) × 2260 ÷ 1410
     Right side of the equation = (
303
5
X ) ×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000)
    The equation is transformed into :
     
96163551
4000
386199
800
X = (
303
5
X ) ×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
303
5
×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000) X ×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000)
                                               =
273912
47
(2739 ÷ 480 × 2260 ÷ 1000) X ×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000)
                                               =
273912
47
× 2739 ÷ 480 × 2260 ÷ 1000 X ×
4520
47
(2739 ÷ 480 × 2260 ÷ 1000)

    
        X≈49.674469 , 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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