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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 0.313*(f+f-0.18)+1.341*(f-0.18+f-11.28)+6.560*(f-11.28+f-15.00) = 6*140*195*2/1000 .
Question type: Equation
Solution:Original question:
313 1000 | ( | f | + | f | − | 9 50 | ) | + | 1341 1000 | ( | f | − | 9 50 | + | f | − | 282 25 | ) | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Left side of the equation = | 313 1000 | f | + | 313 1000 | f | − | 313 1000 | × | 9 50 | + | 1341 1000 | ( | f | − | 9 50 | + | f | − | 282 25 | ) | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) |
| = | 313 1000 | f | + | 313 1000 | f | − | 2817 50000 | + | 1341 1000 | ( | f | − | 9 50 | + | f | − | 282 25 | ) | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) |
| = | 313 500 | f | − | 2817 50000 | + | 1341 1000 | ( | f | − | 9 50 | + | f | − | 282 25 | ) | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) |
| = | 313 500 | f | − | 2817 50000 | + | 1341 1000 | f | − | 1341 1000 | × | 9 50 | + | 1341 1000 | f | − | 1341 1000 | × | 282 25 | + | 164 25 |
| = | 313 500 | f | − | 2817 50000 | + | 1341 1000 | f | − | 12069 50000 | + | 1341 1000 | f | − | 189081 12500 | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) |
| = | 827 250 | f | − | 77121 5000 | + | 164 25 | ( | f | − | 282 25 | + | f | − | 15 | ) |
| = | 827 250 | f | − | 77121 5000 | + | 164 25 | f | − | 164 25 | × | 282 25 | + | 164 25 | f | − | 164 25 | × | 15 |
| = | 827 250 | f | − | 77121 5000 | + | 164 25 | f | − | 46248 625 | + | 164 25 | f | − | 492 5 |
| = | 4107 250 | f | − | 187821 1000 |
4107 250 | f | − | 187821 1000 | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Right side of the equation = | 1638 5 |
4107 250 | f | − | 187821 1000 | = | 1638 5 |
Transposition :
4107 250 | f | = | 1638 5 | + | 187821 1000 |
Combine the items on the right of the equation:
4107 250 | f | = | 515421 1000 |
The coefficient of the unknown number is reduced to 1 :
| f | = | 515421 1000 | ÷ | 4107 250 |
| = | 515421 1000 | × | 250 4107 |
| = | 171807 4 | × | 1 1369 |
We obtained :
| f | = | 171807 5476 |
Convert the result to decimal form :
| f | = | 31.374543 |