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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 35 = 165.7×(0.15+x)×(1+2÷0.15x) .
    Question type: Equation
    Solution:Original question:
     35 =
1657
10
(
3
20
+ x )(1 + 2 ÷
3
20
× x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
1657
10
×
3
20
(1 + 2 ÷
3
20
× x ) +
1657
10
x (1 + 2 ÷
3
20
× x )
                                               =
4971
200
(1 + 2 ÷
3
20
× x ) +
1657
10
x (1 + 2 ÷
3
20
× x )
                                               =
4971
200
× 1 +
4971
200
× 2 ÷
3
20
× x +
1657
10
x (1 + 2 ÷
3
20
× x )
                                               =
4971
200
+
1657
5
x +
1657
10
x (1 + 2 ÷
3
20
× x )
                                               =
4971
200
+
1657
5
x +
1657
10
x × 1 +
1657
10
x × 2 ÷
3
20
× x
                                               =
4971
200
+
1657
5
x +
1657
10
x +
6628
3
x x
                                               =
4971
200
+
4971
10
x +
6628
3
x x
    The equation is transformed into :
     35 =
4971
200
+
4971
10
x +
6628
3
x x

    The solution of the equation:
        x1≈-0.243832 , keep 6 decimal places
        x2≈0.018832 , 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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