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 （27.776+x）×0.85 = 55.552+78.128-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 17 20 | = | 6944 125 | + | 9766 125 | − | x |
| Left side of the equation = | 3472 125 | × | 17 20 | + | x | × | 17 20 |
| = | 14756 625 | + | x | × | 17 20 |
14756 625 | + | 17 20 | x | = | 6944 125 | + | 9766 125 | − | x |
| Right side of the equation = | 3342 25 | − | x |
14756 625 | + | 17 20 | x | = | 3342 25 | − | x |
Transposition :
17 20 | x | + | x | = | 3342 25 | − | 14756 625 |
Combine the items on the left of the equation:
37 20 | x | = | 3342 25 | − | 14756 625 |
Combine the items on the right of the equation:
37 20 | x | = | 68794 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 68794 625 | ÷ | 37 20 |
| = | 68794 625 | × | 20 37 |
| = | 68794 125 | × | 4 37 |
We obtained :
| x | = | 275176 4625 |
Convert the result to decimal form :
| x | = | 59.497514 |