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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 5+(x*1.05+5)+0.15*x+(0.10*x*0.1666) = 108.76 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 5+(x*1.05+5)+0.15*x+(0.10*x*0.1666) = 108.76 .
Question type: Equation
Solution:Original question:
| 5 | + | ( | x | × | 21 20 | + | 5 | ) | + | 3 20 | x | + | ( | 1 10 | x | × | 833 5000 | ) | = | 2719 25 |
| Left side of the equation = | 5 | + | x | × | 21 20 | + | 5 | + | 3 20 | x | + | ( | 1 10 | x | × | 833 5000 | ) |
| = | 10 | + | 6 5 | x | + | ( | 1 10 | x | × | 833 5000 | ) |
| = | 10 | + | 6 5 | x | + | 1 10 | x | × | 833 5000 |
| = | 10 | + | 6 5 | x | + | 833 50000 | x |
| = | 10 | + | 60833 50000 | x |
| 10 | + | 60833 50000 | x | = | 2719 25 |
Transposition :
60833 50000 | x | = | 2719 25 | − | 10 |
Combine the items on the right of the equation:
60833 50000 | x | = | 2469 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2469 25 | ÷ | 60833 50000 |
| = | 2469 25 | × | 50000 60833 |
| = | 2469 | × | 2000 60833 |
We obtained :
| x | = | 4938000 60833 |
Convert the result to decimal form :
| x | = | 81.173048 |