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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 3.45*3.45+4.2（x-320)+320*3.45+4.2(400-320)+5.2(800-x-400) = 2995 .
Question type: Equation
Solution:Original question:
69 20 | × | 69 20 | + | 21 5 | ( | x | − | 320 | ) | + | 320 | × | 69 20 | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) | = | 2995 |
| Left side of the equation = | 4761 400 | + | 21 5 | ( | x | − | 320 | ) | + | 1104 | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | 446361 400 | + | 21 5 | ( | x | − | 320 | ) | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
446361 400 | + | 21 5 | ( | x | − | 320 | ) | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) | = | 2995 |
| Left side of the equation = | 446361 400 | + | 21 5 | x | − | 21 5 | × | 320 | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | 446361 400 | + | 21 5 | x | − | 1344 | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | - | 91239 400 | + | 21 5 | x | + | 21 5 | ( | 400 | − | 320 | ) | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | - | 91239 400 | + | 21 5 | x | + | 21 5 | × | 400 | − | 21 5 | × | 320 | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | - | 91239 400 | + | 21 5 | x | + | 1680 | − | 1344 | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | 43161 400 | + | 21 5 | x | + | 26 5 | ( | 800 | − | x | − | 400 | ) |
| = | 43161 400 | + | 21 5 | x | + | 26 5 | × | 800 | − | 26 5 | x | − | 26 5 | × | 400 |
| = | 43161 400 | + | 21 5 | x | + | 4160 | − | 26 5 | x | − | 2080 |
| = | 875161 400 | − | 1 | x |
875161 400 | − | 1 | x | = | 2995 |
Transposition :
| - | 1 | x | = | 2995 | − | 875161 400 |
| - | x | = | 2995 | − | 875161 400 |
Combine the items on the right of the equation:
| - | x | = | 322839 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 322839 400 | = | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| x | = | - | 322839 400 |
This is the solution of the equation.