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 (0.005*2.008+0.5*x)/(2.008+x)-0.007 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 200 | × | 251 125 | + | 1 2 | x | ) | ÷ | ( | 251 125 | + | x | ) | − | 7 1000 | = | 0 |
| Multiply both sides of the equation by: | ( | 251 125 | + | x | ) |
| ( | 1 200 | × | 251 125 | + | 1 2 | x | ) | − | 7 1000 | ( | 251 125 | + | x | ) | = | 0 |
1 200 | × | 251 125 | + | 1 2 | x | − | 7 1000 | ( | 251 125 | + | x | ) | = | 0 |
251 25000 | + | 1 2 | x | − | 7 1000 | ( | 251 125 | + | x | ) | = | 0 |
251 25000 | + | 1 2 | x | − | 7 1000 | × | 251 125 | − | 7 1000 | x | = | 0 |
251 25000 | + | 1 2 | x | − | 1757 125000 | − | 7 1000 | x | = | 0 |
| - | 251 62500 | + | 493 1000 | x | = | 0 |
Transposition :
493 1000 | x | = | 0 | + | 251 62500 |
Combine the items on the right of the equation:
493 1000 | x | = | 251 62500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 251 62500 | ÷ | 493 1000 |
| = | 251 62500 | × | 1000 493 |
| = | 251 125 | × | 2 493 |
We obtained :
| x | = | 502 61625 |
Convert the result to decimal form :
| x | = | 0.008146 |