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 2.400*(f+f-1.40)+-0.399*(f-1.40+f--5.35)+6.060*(f--5.35+f--1.77) = 6*140*195*2/1000 .
Question type: Equation
Solution:Original question:
12 5 | ( | f | + | f | − | 7 5 | ) | − | 399 1000 | ( | f | − | 7 5 | + | f | − | 107 20 | ) | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Left side of the equation = | 12 5 | f | + | 12 5 | f | − | 12 5 | × | 7 5 | − | 399 1000 | ( | f | − | 7 5 | + | f | − | 107 20 | ) | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) |
| = | 12 5 | f | + | 12 5 | f | − | 84 25 | − | 399 1000 | ( | f | − | 7 5 | + | f | − | 107 20 | ) | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) |
| = | 24 5 | f | − | 84 25 | − | 399 1000 | ( | f | − | 7 5 | + | f | − | 107 20 | ) | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) |
| = | 24 5 | f | − | 84 25 | − | 399 1000 | f | + | 399 1000 | × | 7 5 | − | 399 1000 | f | + | 399 1000 | × | 107 20 | + | 303 50 |
| = | 24 5 | f | − | 84 25 | − | 399 1000 | f | + | 2793 5000 | − | 399 1000 | f | + | 42693 20000 | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) |
| = | 2001 500 | f | − | 2667 4000 | + | 303 50 | ( | f | − | 107 20 | + | f | − | 177 100 | ) |
| = | 2001 500 | f | − | 2667 4000 | + | 303 50 | f | − | 303 50 | × | 107 20 | + | 303 50 | f | − | 303 50 | × | 177 100 |
| = | 2001 500 | f | − | 2667 4000 | + | 303 50 | f | − | 32421 1000 | + | 303 50 | f | − | 53631 5000 |
| = | 8061 500 | f | − | 876279 20000 |
8061 500 | f | − | 876279 20000 | = | 6 | × | 140 | × | 195 | × | 2 | ÷ | 1000 |
| Right side of the equation = | 1638 5 |
8061 500 | f | − | 876279 20000 | = | 1638 5 |
Transposition :
8061 500 | f | = | 1638 5 | + | 876279 20000 |
Combine the items on the right of the equation:
8061 500 | f | = | 7428279 20000 |
The coefficient of the unknown number is reduced to 1 :
| f | = | 7428279 20000 | ÷ | 8061 500 |
| = | 7428279 20000 | × | 500 8061 |
| = | 2476093 40 | × | 1 2687 |
We obtained :
| f | = | 2476093 107480 |
Convert the result to decimal form :
| f | = | 23.037709 |