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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 (50+x)*2/3*(50+x)*130 = 64200 .
    Question type: Equation
    Solution:Original question:
     (50 + x ) × 2 ÷ 3 × (50 + x ) × 130 = 64200
     Left side of the equation = (50 + x ) ×
260
3
(50 + x )
    The equation is transformed into :
     (50 + x ) ×
260
3
(50 + x ) = 64200
    Remove the bracket on the left of the equation:
     Left side of the equation = 50 ×
260
3
(50 + x ) + x ×
260
3
(50 + x )
                                             =
13000
3
(50 + x ) + x ×
260
3
(50 + x )
                                             =
13000
3
× 50 +
13000
3
x + x ×
260
3
(50 + x )
                                             =
650000
3
+
13000
3
x + x ×
260
3
(50 + x )
                                             =
650000
3
+
13000
3
x + x ×
260
3
× 50 + x ×
260
3
x
                                             =
650000
3
+
13000
3
x + x ×
13000
3
+ x ×
260
3
x
                                             =
650000
3
+
26000
3
x + x ×
260
3
x
    The equation is transformed into :
     
650000
3
+
26000
3
x + x ×
260
3
x = 64200

    The solution of the equation:
        x1≈-77.217076 , keep 6 decimal places
        x2≈-22.782924 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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