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 （100-x+4.5）*3.1699-90 = 0 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | x | + | 9 2 | ) | × | 31699 10000 | − | 90 | = | 0 |
| Left side of the equation = | 100 | × | 31699 10000 | − | x | × | 31699 10000 | + | 9 2 | × | 31699 10000 | − | 90 |
| = | 31699 100 | − | x | × | 31699 10000 | + | 285291 20000 | − | 90 |
| = | 4825091 20000 | − | 31699 10000 | x |
4825091 20000 | − | 31699 10000 | x | = | 0 |
Transposition :
| - | 31699 10000 | x | = | 0 | − | 4825091 20000 |
Combine the items on the right of the equation:
| - | 31699 10000 | x | = | - | 4825091 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4825091 20000 | = | 31699 10000 | x |
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 :
31699 10000 | x | = | 4825091 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4825091 20000 | ÷ | 31699 10000 |
| = | 4825091 20000 | × | 10000 31699 |
| = | 4825091 2 | × | 1 31699 |
We obtained :
| x | = | 4825091 63398 |
Convert the result to decimal form :
| x | = | 76.107937 |