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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 (40/Q+8.5)/(50/Q+6.8) = 0.51/0.49 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Calculate the items on the right of the equation:
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (40/Q+8.5)/(50/Q+6.8) = 0.51/0.49 .
Question type: Equation
Solution:Original question:
| ( | 40 | ÷ | Q | + | 17 2 | ) | ÷ | ( | 50 | ÷ | Q | + | 34 5 | ) | = | 51 100 | ÷ | 49 100 |
| Multiply both sides of the equation by: | ( | 50 | ÷ | Q | + | 34 5 | ) |
| ( | 40 | ÷ | Q | + | 17 2 | ) | = | 51 100 | ÷ | 49 100 | × | ( | 50 | ÷ | Q | + | 34 5 | ) |
| 40 | ÷ | Q | + | 17 2 | = | 51 100 | ÷ | 49 100 | × | ( | 50 | ÷ | Q | + | 34 5 | ) |
| 40 | ÷ | Q | + | 17 2 | = | 51 100 | ÷ | 49 100 | × | 50 | ÷ | Q | + | 51 100 | ÷ | 49 100 | × | 34 5 |
| 40 | ÷ | Q | + | 17 2 | = | 2550 49 | ÷ | Q | + | 1734 245 |
| Multiply both sides of the equation by: | Q |
| 40 | + | 17 2 | Q | = | 2550 49 | ÷ | 1 | × | 1 | + | 1734 245 | Q |
Transposition :
17 2 | Q | − | 1734 245 | Q | = | 2550 49 | ÷ | 1 | × | 1 | − | 40 |
Calculate the items on the right of the equation:
17 2 | Q | − | 1734 245 | Q | = | 2550 49 | − | 40 |
Combine the items on the left of the equation:
697 490 | Q | = | 2550 49 | − | 40 |
Combine the items on the right of the equation:
697 490 | Q | = | 590 49 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 590 49 | ÷ | 697 490 |
| = | 590 49 | × | 490 697 |
| = | 590 | × | 10 697 |
We obtained :
| Q | = | 5900 697 |
Convert the result to decimal form :
| Q | = | 8.464849 |