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 4％/4 = w×48.26%＋（1－w）×（－32.55%） .
Question type: Equation
Solution:Original question:
4 100 | ÷ | 4 | = | w | × | 2413 5000 | + | ( | 1 | − | w | ) | ( | - | 651 2000 | ) |
| Left side of the equation = | 1 100 |
1 100 | = | w | × | 2413 5000 | + | ( | 1 | − | w | ) | ( | - | 651 2000 | ) |
| Right side of the equation = | 2413 5000 | w | + | 1 | ( | - | 651 2000 | ) | − | w | ( | - | 651 2000 | ) |
| = | 2413 5000 | w | − | 1 | × | 651 2000 | − | w | ( | - | 651 2000 | ) |
| = | 2413 5000 | w | − | 651 2000 | − | w | ( | - | 651 2000 | ) |
| = | 2413 5000 | w | − | 651 2000 | + | w | × | 651 2000 |
| = | 8081 10000 | w | − | 651 2000 |
1 100 | = | 8081 10000 | w | − | 651 2000 |
Transposition :
| - | 8081 10000 | w | = | - | 651 2000 | − | 1 100 |
Combine the items on the right of the equation:
| - | 8081 10000 | w | = | - | 671 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
671 2000 | = | 8081 10000 | w |
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 :
8081 10000 | w | = | 671 2000 |
The coefficient of the unknown number is reduced to 1 :
| w | = | 671 2000 | ÷ | 8081 10000 |
| = | 671 2000 | × | 10000 8081 |
| = | 671 | × | 5 8081 |
We obtained :
| w | = | 3355 8081 |
Convert the result to decimal form :
| w | = | 0.415171 |