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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 x*(1-0.3684)+72.5*0.3684 = 84 .
Question type: Equation
Solution:Original question:
| x | ( | 1 | − | 921 2500 | ) | + | 145 2 | × | 921 2500 | = | 84 |
| Left side of the equation = | x | ( | 1 | − | 921 2500 | ) | + | 26709 1000 |
| x | ( | 1 | − | 921 2500 | ) | + | 26709 1000 | = | 84 |
| Left side of the equation = | x | × | 1 | − | x | × | 921 2500 | + | 26709 1000 |
| = | 1579 2500 | x | + | 26709 1000 |
1579 2500 | x | + | 26709 1000 | = | 84 |
Transposition :
1579 2500 | x | = | 84 | − | 26709 1000 |
Combine the items on the right of the equation:
1579 2500 | x | = | 57291 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 57291 1000 | ÷ | 1579 2500 |
| = | 57291 1000 | × | 2500 1579 |
| = | 57291 2 | × | 5 1579 |
We obtained :
| x | = | 286455 3158 |
Convert the result to decimal form :
| x | = | 90.707726 |