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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 20640-(1600+10A)*0.75+160.5+22710-(1720+11A)*0.75+105.3+24987-(12.1A+1852)*0.74+10054.2 = 17520 .
Question type: Equation
Solution:Original question:
| 20640 | − | ( | 1600 | + | 10 | A | ) | × | 3 4 | + | 321 2 | + | 22710 | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | + | 1053 10 | + | 24987 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 | + | 50271 5 | = | 17520 |
| Left side of the equation = | 78657 | − | ( | 1600 | + | 10 | A | ) | × | 3 4 | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| 78657 | − | ( | 1600 | + | 10 | A | ) | × | 3 4 | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 | = | 17520 |
| Left side of the equation = | 78657 | − | 1600 | × | 3 4 | − | 10 | A | × | 3 4 | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 78657 | − | 1200 | − | 15 2 | A | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 77457 | − | 15 2 | A | − | ( | 1720 | + | 11 | A | ) | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 77457 | − | 15 2 | A | − | 1720 | × | 3 4 | − | 11 | A | × | 3 4 | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 77457 | − | 15 2 | A | − | 1290 | − | 33 4 | A | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 76167 | − | 63 4 | A | − | ( | 121 10 | A | + | 1852 | ) | × | 37 50 |
| = | 76167 | − | 63 4 | A | − | 121 10 | A | × | 37 50 | − | 1852 | × | 37 50 |
| = | 76167 | − | 63 4 | A | − | 4477 500 | A | − | 34262 25 |
| = | 1869913 25 | − | 3088 125 | A |
1869913 25 | − | 3088 125 | A | = | 17520 |
Transposition :
| - | 3088 125 | A | = | 17520 | − | 1869913 25 |
Combine the items on the right of the equation:
| - | 3088 125 | A | = | - | 1431913 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1431913 25 | = | 3088 125 | A |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
3088 125 | A | = | 1431913 25 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 1431913 25 | ÷ | 3088 125 |
| = | 1431913 25 | × | 125 3088 |
| = | 1431913 | × | 5 3088 |
We obtained :
| A | = | 7159565 3088 |
Convert the result to decimal form :
| A | = | 2318.511982 |