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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.
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 4x*x = (0.1-x)*(0.33-x)*513.6 .
Question type: Equation
Solution:Original question:
Remove the bracket on the right of the equation:
The equation is transformed into :
The solution of the equation:
x1≈0.099664 , keep 6 decimal places
x2≈0.333711 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 4x*x = (0.1-x)*(0.33-x)*513.6 .
Question type: Equation
Solution:Original question:
| 4 | x | x | = | ( | 1 10 | − | x | ) | ( | 33 100 | − | x | ) | × | 2568 5 |
| Right side of the equation = | 1 10 | ( | 33 100 | − | x | ) | × | 2568 5 | − | x | ( | 33 100 | − | x | ) | × | 2568 5 |
| = | 1284 25 | ( | 33 100 | − | x | ) | − | x | ( | 33 100 | − | x | ) | × | 2568 5 |
| = | 1284 25 | × | 33 100 | − | 1284 25 | x | − | x | ( | 33 100 | − | x | ) | × | 2568 5 |
| = | 10593 625 | − | 1284 25 | x | − | x | ( | 33 100 | − | x | ) | × | 2568 5 |
| = | 10593 625 | − | 1284 25 | x | − | x | × | 33 100 | × | 2568 5 | + | x | x | × | 2568 5 |
| = | 10593 625 | − | 1284 25 | x | − | x | × | 21186 125 | + | x | x | × | 2568 5 |
| = | 10593 625 | − | 27606 125 | x | + | x | x | × | 2568 5 |
| 4 | x | x | = | 10593 625 | − | 27606 125 | x | + | x | x | × | 2568 5 |
The solution of the equation:
x1≈0.099664 , keep 6 decimal places
x2≈0.333711 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》