Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 8.156*(f+f-4.75)+3.925*(f-4.75+f-15.29)+2.720*(f-15.29+f-16.82) = 6*140*195*2/1000 .
Question type: Equation
Solution:Original question:
2039 250 | ( | f | + | f | − | 19 4 | ) | + | 157 40 | ( | f | − | 19 4 | + | f | − | 1529 100 | ) | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Left side of the equation = | 2039 250 | f | + | 2039 250 | f | − | 2039 250 | × | 19 4 | + | 157 40 | ( | f | − | 19 4 | + | f | − | 1529 100 | ) | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) |
| = | 2039 250 | f | + | 2039 250 | f | − | 38741 1000 | + | 157 40 | ( | f | − | 19 4 | + | f | − | 1529 100 | ) | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) |
| = | 2039 125 | f | − | 38741 1000 | + | 157 40 | ( | f | − | 19 4 | + | f | − | 1529 100 | ) | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) |
| = | 2039 125 | f | − | 38741 1000 | + | 157 40 | f | − | 157 40 | × | 19 4 | + | 157 40 | f | − | 157 40 | × | 1529 100 | + | 68 25 |
| = | 2039 125 | f | − | 38741 1000 | + | 157 40 | f | − | 2983 160 | + | 157 40 | f | − | 240053 4000 | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) |
| = | 12081 500 | f | − | 58699 500 | + | 68 25 | ( | f | − | 1529 100 | + | f | − | 841 50 | ) |
| = | 12081 500 | f | − | 58699 500 | + | 68 25 | f | − | 68 25 | × | 1529 100 | + | 68 25 | f | − | 68 25 | × | 841 50 |
| = | 12081 500 | f | − | 58699 500 | + | 68 25 | f | − | 25993 625 | + | 68 25 | f | − | 28594 625 |
| = | 14801 500 | f | − | 511843 2500 |
14801 500 | f | − | 511843 2500 | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Right side of the equation = | 1638 5 |
14801 500 | f | − | 511843 2500 | = | 1638 5 |
Transposition :
14801 500 | f | = | 1638 5 | + | 511843 2500 |
Combine the items on the right of the equation:
14801 500 | f | = | 1330843 2500 |
The coefficient of the unknown number is reduced to 1 :
| f | = | 1330843 2500 | ÷ | 14801 500 |
| = | 1330843 2500 | × | 500 14801 |
| = | 1330843 5 | × | 1 14801 |
We obtained :
| f | = | 1330843 74005 |
Convert the result to decimal form :
| f | = | 17.98315 |