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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 (10+x)×(10+x)÷8×3.14 = 50 .
    Question type: Equation
    Solution:Original question:
     (10 + x )(10 + x ) ÷ 8 ×
157
50
= 50
     Left side of the equation = (10 + x )(10 + x ) ×
157
400
    The equation is transformed into :
     (10 + x )(10 + x ) ×
157
400
= 50
    Remove the bracket on the left of the equation:
     Left side of the equation = 10(10 + x ) ×
157
400
+ x (10 + x ) ×
157
400
                                             =
157
40
(10 + x ) + x (10 + x ) ×
157
400
                                             =
157
40
× 10 +
157
40
x + x (10 + x ) ×
157
400
                                             =
157
4
+
157
40
x + x (10 + x ) ×
157
400
                                             =
157
4
+
157
40
x + x × 10 ×
157
400
+ x x ×
157
400
                                             =
157
4
+
157
40
x + x ×
157
40
+ x x ×
157
400
                                             =
157
4
+
157
20
x + x x ×
157
400
    The equation is transformed into :
     
157
4
+
157
20
x + x x ×
157
400
= 50

    The solution of the equation:
        x1≈-21.286653 , keep 6 decimal places
        x2≈1.286653 , 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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