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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 （3+2x）×(6.2-x)×100 = 218.135×（1.2-2x）×（1.2-2x）×(2-x)×101.325 .
Question type: Equation
Solution:Original question:
| ( | 3 | + | 2 | x | ) | ( | 31 5 | − | x | ) | × | 100 | = | 43627 200 | ( | 6 5 | − | 2 | x | ) | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) | × | 4053 40 |
| Left side of the equation = | 3 | ( | 31 5 | − | x | ) | × | 100 | + | 2 | x | ( | 31 5 | − | x | ) | × | 100 |
| = | 300 | ( | 31 5 | − | x | ) | + | 200 | x | ( | 31 5 | − | x | ) |
| = | 300 | × | 31 5 | − | 300 | x | + | 200 | x | ( | 31 5 | − | x | ) |
| = | 1860 | − | 300 | x | + | 200 | x | ( | 31 5 | − | x | ) |
| = | 1860 | − | 300 | x | + | 200 | x | × | 31 5 | − | 200 | x | x |
| = | 1860 | − | 300 | x | + | 1240 | x | − | 200 | x | x |
| = | 1860 | + | 940 | x | − | 200 | x | x |
| 1860 | + | 940 | x | − | 200 | x | x | = | 43627 200 | ( | 6 5 | − | 2 | x | ) | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) | × | 4053 40 |
| Right side of the equation = | 176820231 8000 | ( | 6 5 | − | 2 | x | ) | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| 1860 | + | 940 | x | − | 200 | x | x | = | 176820231 8000 | ( | 6 5 | − | 2 | x | ) | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| Right side of the equation = | 176820231 8000 | × | 6 5 | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) | − | 176820231 8000 | × | 2 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 530460693 20000 | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 530460693 20000 | × | 6 5 | ( | 2 | − | x | ) | − | 530460693 20000 | × | 2 | x | ( | 2 | − | x | ) | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 1591382079 50000 | ( | 2 | − | x | ) | − | 530460693 10000 | x | ( | 2 | − | x | ) | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 1591382079 50000 | × | 2 | − | 1591382079 50000 | x | − | 530460693 10000 | x | ( | 2 | − | x | ) | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 1591382079 25000 | − | 1591382079 50000 | x | − | 530460693 10000 | x | ( | 2 | − | x | ) | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
| = | 1591382079 25000 | − | 1591382079 50000 | x | − | 530460693 10000 | x | × | 2 | + | 530460693 10000 | x | x | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) |
| = | 1591382079 25000 | − | 1591382079 50000 | x | − | 530460693 5000 | x | + | 530460693 10000 | x | x | − | 176820231 4000 | x | ( | 6 5 | − | 2 | x | ) | ( | 2 | − | x | ) |
The solution of the equation:
x1≈0.470762 , keep 6 decimal places
x2≈0.748882 , keep 6 decimal places
x3≈1.982619 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》