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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 7.97×（3.5+x） = 13.04x .
Question type: Equation
Solution:Original question:
797 100 | ( | 7 2 | + | x | ) | = | 326 25 | x |
| Left side of the equation = | 797 100 | × | 7 2 | + | 797 100 | x |
| = | 5579 200 | + | 797 100 | x |
5579 200 | + | 797 100 | x | = | 326 25 | x |
Transposition :
797 100 | x | − | 326 25 | x | = | - | 5579 200 |
Combine the items on the left of the equation:
| - | 507 100 | x | = | - | 5579 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5579 200 | = | 507 100 | 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 :
507 100 | x | = | 5579 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5579 200 | ÷ | 507 100 |
| = | 5579 200 | × | 100 507 |
| = | 5579 2 | × | 1 507 |
We obtained :
| x | = | 5579 1014 |
Convert the result to decimal form :
| x | = | 5.501972 |