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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 2x/（x+30） = 1.732/2 .
Question type: Equation
Solution:Original question:
| 2 | x | ÷ | ( | x | + | 30 | ) | = | 433 250 | ÷ | 2 |
| Multiply both sides of the equation by: | ( | x | + | 30 | ) |
| 2 | x | = | 433 250 | ÷ | 2 | × | ( | x | + | 30 | ) |
| 2 | x | = | 433 250 | ÷ | 2 | × | x | + | 433 250 | ÷ | 2 | × | 30 |
| 2 | x | = | 433 500 | x | + | 1299 50 |
Transposition :
| 2 | x | − | 433 500 | x | = | 1299 50 |
Combine the items on the left of the equation:
567 500 | x | = | 1299 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1299 50 | ÷ | 567 500 |
| = | 1299 50 | × | 500 567 |
| = | 433 | × | 10 189 |
We obtained :
| x | = | 4330 189 |
Convert the result to decimal form :
| x | = | 22.910053 |