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 i-7%/8%-7% = （2.6087-2.6243）/（2.5771-2.6243） .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation i-7%/8%-7% = （2.6087-2.6243）/（2.5771-2.6243） .
Question type: Equation
Solution:Original question:
| i | − | 7 100 | ÷ | 8 100 | − | 7 100 | = | ( | 26087 10000 | − | 26243 10000 | ) | ÷ | ( | 25771 10000 | − | 26243 10000 | ) |
| Multiply both sides of the equation by: | ( | 25771 10000 | − | 26243 10000 | ) |
| i | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | ( | 26087 10000 | − | 26243 10000 | ) |
| i | × | 25771 10000 | − | i | × | 26243 10000 | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | ( | 26087 10000 | − | 26243 10000 | ) |
| i | × | 25771 10000 | − | i | × | 26243 10000 | − | 7 100 | ÷ | 8 100 | × | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | 26087 10000 | − | 26243 10000 |
| i | × | 25771 10000 | − | i | × | 26243 10000 | − | 7 8 | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | 26087 10000 | − | 26243 10000 |
| - | 59 1250 | i | − | 7 8 | ( | 25771 10000 | − | 26243 10000 | ) | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | - | 39 2500 |
| - | 59 1250 | i | − | 7 8 | × | 25771 10000 | + | 7 8 | × | 26243 10000 | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | - | 39 2500 |
| - | 59 1250 | i | − | 180397 80000 | + | 183701 80000 | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | - | 39 2500 |
| - | 59 1250 | i | + | 413 10000 | − | 7 100 | ( | 25771 10000 | − | 26243 10000 | ) | = | - | 39 2500 |
| - | 59 1250 | i | + | 413 10000 | − | 7 100 | × | 25771 10000 | + | 7 100 | × | 26243 10000 | = | - | 39 2500 |
| - | 59 1250 | i | + | 413 10000 | − | 180397 1000000 | + | 183701 1000000 | = | - | 39 2500 |
| - | 59 1250 | i | + | 11151 250000 | = | - | 39 2500 |
Transposition :
| - | 59 1250 | i | = | - | 39 2500 | − | 11151 250000 |
Combine the items on the right of the equation:
| - | 59 1250 | i | = | - | 15051 250000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15051 250000 | = | 59 1250 | i |
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 :
59 1250 | i | = | 15051 250000 |
The coefficient of the unknown number is reduced to 1 :
| i | = | 15051 250000 | ÷ | 59 1250 |
| = | 15051 250000 | × | 1250 59 |
| = | 15051 200 | × | 1 59 |
We obtained :
| i | = | 15051 11800 |
Convert the result to decimal form :
| i | = | 1.275508 |