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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 1+(1/4)+(1/9)+(1/25)+(1/36)+(1/n) = 0 .
Question type: Equation
Solution:Original question:
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 :
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 :
Remove a bracket on the left of the equation:
Transposition :
Combine the items on the right of the equation:
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 1+(1/4)+(1/9)+(1/25)+(1/36)+(1/n) = 0 .
Question type: Equation
Solution:Original question:
| 1 | + | ( | 1 | ÷ | 4 | ) | + | ( | 1 | ÷ | 9 | ) | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
| 1 | + | 1 | ÷ | 4 | + | ( | 1 | ÷ | 9 | ) | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
| 1 | + | 1 4 | + | ( | 1 | ÷ | 9 | ) | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
5 4 | + | ( | 1 | ÷ | 9 | ) | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
5 4 | + | 1 | ÷ | 9 | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
5 4 | + | 1 9 | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
49 36 | + | ( | 1 | ÷ | 25 | ) | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
49 36 | + | 1 | ÷ | 25 | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
49 36 | + | 1 25 | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
1261 900 | + | ( | 1 | ÷ | 36 | ) | + | ( | 1 | ÷ | n | ) | = | 0 |
1261 900 | + | 1 | ÷ | 36 | + | ( | 1 | ÷ | n | ) | = | 0 |
1261 900 | + | 1 36 | + | ( | 1 | ÷ | n | ) | = | 0 |
643 450 | + | ( | 1 | ÷ | n | ) | = | 0 |
643 450 | + | 1 | ÷ | n | = | 0 |
| Multiply both sides of the equation by: | n |
643 450 | n | + | 1 | = | 0 |
Transposition :
643 450 | n | = | 0 | − | 1 |
Combine the items on the right of the equation:
643 450 | n | = | - | 1 |
The coefficient of the unknown number is reduced to 1 :
| n | = | - | 1 | ÷ | 643 450 |
| = | - | 1 | × | 450 643 |
We obtained :
| n | = | - | 450 643 |
Convert the result to decimal form :
| n | = | - 0.699844 |