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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 （（30+x）×5+2×1)/（30+x+2） = 4.87 .
Question type: Equation
Solution:Original question:
| ( | ( | 30 | + | x | ) | × | 5 | + | 2 | × | 1 | ) | ÷ | ( | 30 | + | x | + | 2 | ) | = | 487 100 |
| Multiply both sides of the equation by: | ( | 30 | + | x | + | 2 | ) |
| ( | ( | 30 | + | x | ) | × | 5 | + | 2 | × | 1 | ) | = | 487 100 | ( | 30 | + | x | + | 2 | ) |
| ( | 30 | + | x | ) | × | 5 | + | 2 | × | 1 | = | 487 100 | ( | 30 | + | x | + | 2 | ) |
| ( | 30 | + | x | ) | × | 5 | + | 2 | × | 1 | = | 487 100 | × | 30 | + | 487 100 | x | + | 487 100 | × | 2 |
| ( | 30 | + | x | ) | × | 5 | + | 2 | = | 1461 10 | + | 487 100 | x | + | 487 50 |
| ( | 30 | + | x | ) | × | 5 | + | 2 | = | 3896 25 | + | 487 100 | x |
| 30 | × | 5 | + | x | × | 5 | + | 2 | = | 3896 25 | + | 487 100 | x |
| 150 | + | x | × | 5 | + | 2 | = | 3896 25 | + | 487 100 | x |
| 152 | + | 5 | x | = | 3896 25 | + | 487 100 | x |
Transposition :
| 5 | x | − | 487 100 | x | = | 3896 25 | − | 152 |
Combine the items on the left of the equation:
13 100 | x | = | 3896 25 | − | 152 |
Combine the items on the right of the equation:
13 100 | x | = | 96 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 96 25 | ÷ | 13 100 |
| = | 96 25 | × | 100 13 |
| = | 96 | × | 4 13 |
We obtained :
| x | = | 384 13 |
Convert the result to decimal form :
| x | = | 29.538462 |