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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)*(2739/480*2260/1000) = (60.6-X)*(2739/480*1410/1000)*2260/1410 .
    Question type: Equation
    Solution:Original question:
     (
249
5
X )(2739 ÷ 480 × 2260 ÷ 1000) = (
303
5
X )(2739 ÷ 480 × 1410 ÷ 1000) × 2260 ÷ 1410
    Remove the bracket on the left of the equation:
     Left side of the equation =
249
5
(2739 ÷ 480 × 2260 ÷ 1000) X (2739 ÷ 480 × 2260 ÷ 1000)
                                             =
249
5
× 2739 ÷ 480 × 2260 ÷ 1000 X (2739 ÷ 480 × 2260 ÷ 1000)
                                             =
25689081
40000
X (2739 ÷ 480 × 2260 ÷ 1000)
                                             =
25689081
40000
X × 2739 ÷ 480 × 2260 ÷ 1000
                                             =
25689081
40000
X ×
103169
8000
    The equation is transformed into :
     
25689081
40000
103169
8000
X = (
303
5
X )(2739 ÷ 480 × 1410 ÷ 1000) × 2260 ÷ 1410
     Right side of the equation = (
303
5
X )(2739 ÷ 480 × 1410 ÷ 1000) ×
226
141
    The equation is transformed into :
     
25689081
40000
103169
8000
X = (
303
5
X )(2739 ÷ 480 × 1410 ÷ 1000) ×
226
141
    Remove the bracket on the right of the equation:
     Right side of the equation =
303
5
(2739 ÷ 480 × 1410 ÷ 1000) ×
226
141
X (2739 ÷ 480 × 1410 ÷ 1000) ×
226
141
                                               =
22826
235
(2739 ÷ 480 × 1410 ÷ 1000) X (2739 ÷ 480 × 1410 ÷ 1000) ×
226
141
                                               =
22826
235
× 2739 ÷ 480 × 1410 ÷ 1000 X (2739 ÷ 480 × 1410 ÷ 1000) ×
226
141

    
        X≈45.100914 , 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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