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 (0.01*2.028+0.5*x)/(2.028+x)-0.02 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 100 | × | 507 250 | + | 1 2 | x | ) | ÷ | ( | 507 250 | + | x | ) | − | 1 50 | = | 0 |
| Multiply both sides of the equation by: | ( | 507 250 | + | x | ) |
| ( | 1 100 | × | 507 250 | + | 1 2 | x | ) | − | 1 50 | ( | 507 250 | + | x | ) | = | 0 |
1 100 | × | 507 250 | + | 1 2 | x | − | 1 50 | ( | 507 250 | + | x | ) | = | 0 |
507 25000 | + | 1 2 | x | − | 1 50 | ( | 507 250 | + | x | ) | = | 0 |
507 25000 | + | 1 2 | x | − | 1 50 | × | 507 250 | − | 1 50 | x | = | 0 |
507 25000 | + | 1 2 | x | − | 507 12500 | − | 1 50 | x | = | 0 |
| - | 507 25000 | + | 12 25 | x | = | 0 |
Transposition :
12 25 | x | = | 0 | + | 507 25000 |
Combine the items on the right of the equation:
12 25 | x | = | 507 25000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 507 25000 | ÷ | 12 25 |
| = | 507 25000 | × | 25 12 |
| = | 169 1000 | × | 1 4 |
We obtained :
| x | = | 169 4000 |
Convert the result to decimal form :
| x | = | 0.04225 |