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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 [Q-(1500+0.15Q)+300]*0.75+611.8 = 661.44 .
Question type: Equation
Solution:Original question:
| ( | Q | − | ( | 1500 | + | 3 20 | Q | ) | + | 300 | ) | × | 3 4 | + | 3059 5 | = | 16536 25 |
| Left side of the equation = | Q | × | 3 4 | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 300 | × | 3 4 | + | 3059 5 |
| = | Q | × | 3 4 | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 225 | + | 3059 5 |
| = | 3 4 | Q | − | ( | 1500 | + | 3 20 | Q | ) | × | 3 4 | + | 4184 5 |
| = | 3 4 | Q | − | 1500 | × | 3 4 | − | 3 20 | Q | × | 3 4 | + | 4184 5 |
| = | 3 4 | Q | − | 1125 | − | 9 80 | Q | + | 4184 5 |
| = | 51 80 | Q | − | 1441 5 |
51 80 | Q | − | 1441 5 | = | 16536 25 |
Transposition :
51 80 | Q | = | 16536 25 | + | 1441 5 |
Combine the items on the right of the equation:
51 80 | Q | = | 23741 25 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 23741 25 | ÷ | 51 80 |
| = | 23741 25 | × | 80 51 |
| = | 23741 5 | × | 16 51 |
We obtained :
| Q | = | 379856 255 |
Convert the result to decimal form :
| Q | = | 1489.631373 |