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 217500 = (x/1.13*0.1/2)+x .
Question type: Equation
Solution:Original question:
| 217500 | = | ( | x | ÷ | 113 100 | × | 1 10 | ÷ | 2 | ) | + | x |
| Right side of the equation = | x | ÷ | 113 100 | × | 1 10 | ÷ | 2 | + | x |
| = | x | × | 5 113 | + | x |
| = | 118 113 | x |
| 217500 | = | 118 113 | x |
Transposition :
| - | 118 113 | x | = | - | 217500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 217500 | = | 118 113 | 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 :
118 113 | x | = | 217500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 217500 | ÷ | 118 113 |
| = | 217500 | × | 113 118 |
| = | 108750 | × | 113 59 |
We obtained :
| x | = | 12288750 59 |
Convert the result to decimal form :
| x | = | 208283.898305 |