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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 (80.585-8.36*x)*(2840.6+53.42*x*x-1126.7*x)-53.297*53.297*(53.297-6.39*x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 16117 200 | − | 209 25 | x | ) | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 53297 1000 | × | 53297 1000 | ( | 53297 1000 | − | 639 100 | x | ) | = | 0 |
| Left side of the equation = | ( | 16117 200 | − | 209 25 | x | ) | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 2840570209 1000000 | ( | 53297 1000 | − | 639 100 | x | ) |
| ( | 16117 200 | − | 209 25 | x | ) | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 2840570209 1000000 | ( | 53297 1000 | − | 639 100 | x | ) | = | 0 |
| Left side of the equation = | 16117 200 | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 209 25 | x | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 2840570209 1000000 | ( | 53297 1000 | − | 639 100 | x | ) |
| = | 16117 200 | × | 14203 5 | + | 16117 200 | × | 2671 50 | x | x | − | 16117 200 | × | 11267 10 | x | − | 209 25 | x | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) |
| = | 228909751 1000 | + | 43048507 10000 | x | x | − | 181590239 2000 | x | − | 209 25 | x | ( | 14203 5 | + | 2671 50 | x | x | − | 11267 10 | x | ) | − | 2840570209 1000000 | ( | 53297 1000 | − | 639 100 | x | ) |
| = | 228909751 1000 | + | 43048507 10000 | x | x | − | 181590239 2000 | x | − | 209 25 | x | × | 14203 5 | − | 209 25 | x | × | 2671 50 |
| = | 228909751 1000 | + | 43048507 10000 | x | x | − | 181590239 2000 | x | − | 2968427 125 | x | − | 558239 1250 | x | x | x |
The solution of the equation:
x1≈0.921442 , keep 6 decimal places
x2≈9.092774 , keep 6 decimal places
x3≈20.716489 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》