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 （v-20.1）*（-30.1） = 20v .
Question type: Equation
Solution:Original question:
| ( | v | − | 201 10 | ) | ( | - | 301 10 | ) | = | 20 | v |
| Left side of the equation = | v | ( | - | 301 10 | ) | − | 201 10 | ( | - | 301 10 | ) |
| = | - | v | × | 301 10 | − | 201 10 | ( | - | 301 10 | ) |
| = | - | 301 10 | v | + | 201 10 | × | 301 10 |
| = | - | 301 10 | v | + | 60501 100 |
| - | 301 10 | v | + | 60501 100 | = | 20 | v |
Transposition :
| - | 301 10 | v | − | 20 | v | = | - | 60501 100 |
Combine the items on the left of the equation:
| - | 501 10 | v | = | - | 60501 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
60501 100 | = | 501 10 | v |
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 :
501 10 | v | = | 60501 100 |
The coefficient of the unknown number is reduced to 1 :
| v | = | 60501 100 | ÷ | 501 10 |
| = | 60501 100 | × | 10 501 |
| = | 20167 10 | × | 1 167 |
We obtained :
| v | = | 20167 1670 |
Convert the result to decimal form :
| v | = | 12.076048 |