Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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/126+(21.5-X)/111-.0585 = 0.119 .
Question type: Equation
Solution:Original question:
| X | ÷ | 126 | + | ( | 43 2 | − | X | ) | ÷ | 111 | − | 117 2000 | = | 119 1000 |
| Left side of the equation = | 1 126 | X | + | 43 2 | × | 1 111 | − | X | × | 1 111 | − | 117 2000 |
| = | 1 126 | X | + | 43 222 | − | X | × | 1 111 | − | 117 2000 |
| = | - | 5 4662 | X | + | 30013 222000 |
| - | 5 4662 | X | + | 30013 222000 | = | 119 1000 |
Transposition :
| - | 5 4662 | X | = | 119 1000 | − | 30013 222000 |
Combine the items on the right of the equation:
| - | 5 4662 | X | = | - | 719 44400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
719 44400 | = | 5 4662 | 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 :
5 4662 | X | = | 719 44400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 719 44400 | ÷ | 5 4662 |
| = | 719 44400 | × | 4662 5 |
| = | 719 7400 | × | 777 5 |
We obtained :
| X | = | 558663 37000 |
By reducing fraction, we can get:
| X | = | 15099 1000 |
Convert the result to decimal form :
| X | = | 15.099 |