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-5)/(4.76x+2) = 0.03 .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ) | ÷ | ( | 119 25 | x | + | 2 | ) | = | 3 100 |
| Multiply both sides of the equation by: | ( | 119 25 | x | + | 2 | ) |
| ( | x | − | 5 | ) | = | 3 100 | ( | 119 25 | x | + | 2 | ) |
| x | − | 5 | = | 3 100 | ( | 119 25 | x | + | 2 | ) |
| x | − | 5 | = | 3 100 | × | 119 25 | x | + | 3 100 | × | 2 |
| x | − | 5 | = | 357 2500 | x | + | 3 50 |
Transposition :
| x | − | 357 2500 | x | = | 3 50 | + | 5 |
Combine the items on the left of the equation:
2143 2500 | x | = | 3 50 | + | 5 |
Combine the items on the right of the equation:
2143 2500 | x | = | 253 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 253 50 | ÷ | 2143 2500 |
| = | 253 50 | × | 2500 2143 |
| = | 253 | × | 50 2143 |
We obtained :
| x | = | 12650 2143 |
Convert the result to decimal form :
| x | = | 5.90294 |