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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 179(0.961-0.276x)(0.891-0.454x)+443(0.891-0.454x)+336 = 1.4(211(0.961-0.276x)(0.891-0.454x)+620(0.891-0.454x)-60) .
Question type: Equation
Solution:Original question:
| 179 | ( | 961 1000 | − | 69 250 | x | ) | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) | + | 336 | = | 7 5 | ( | 211 | ( | 961 1000 | − | 69 250 | x | ) | ( | 891 1000 | − | 227 500 | x | ) | + | 620 | ( | 891 1000 | − | 227 500 | x | ) | − | 60 | ) |
| Left side of the equation = | 179 | × | 961 1000 | ( | 891 1000 | − | 227 500 | x | ) | − | 179 | × | 69 250 | x | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) | + | 336 |
| = | 172019 1000 | ( | 891 1000 | − | 227 500 | x | ) | − | 12351 250 | x | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) | + | 336 |
| = | 172019 1000 | × | 891 1000 | − | 172019 1000 | × | 227 500 | x | − | 12351 250 | x | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) | + | 336 |
| = | 153268929 1000000 | − | 39048313 500000 | x | − | 12351 250 | x | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) | + | 336 |
| = | 489268929 1000000 | − | 39048313 500000 | x | − | 12351 250 | x | ( | 891 1000 | − | 227 500 | x | ) | + | 443 | ( | 891 1000 | − | 227 500 | x | ) |
| = | 489268929 1000000 | − | 39048313 500000 | x | − | 12351 250 | x | × | 891 1000 | + | 12351 250 | x | × | 227 500 | x | + | 443 | ( | 891 1000 | − | 227 500 | x | ) |
| = | 489268929 1000000 | − | 39048313 500000 | x | − | 11004741 250000 | x | + | 2803677 125000 | x | x | + | 443 | ( | 891 1000 | − | 227 500 | x | ) |
The solution of the equation:
x1≈0.216727 , keep 6 decimal places
x2≈18.456707 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》