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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 1/15x+1/14x-1/13+1/12-1/11+1/10x-1/9x+1/8x-1/7x+1/6x-1/5x-1/4x+1/3x-1/2x+1/1x = 15/2x .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 15 | × | x | + | 1 | ÷ | 14 | × | x | − | 1 | ÷ | 13 | + | 1 | ÷ | 12 | − | 1 | ÷ | 11 | = | 15 | ÷ | 2 | × | x |
| Left side of the equation = | 1 15 | x | + | 1 14 | x | − | 1 13 | + | 1 12 | − | 1 11 | + | 1 10 | x | − | 1 9 | x | + | 1 8 |
| = | 1661 2520 | x | − | 145 1716 |
1661 2520 | x | − | 145 1716 | = | 15 | ÷ | 2 | × | x |
| Right side of the equation = | 15 2 | x |
1661 2520 | x | − | 145 1716 | = | 15 2 | x |
Transposition :
1661 2520 | x | − | 15 2 | x | = | 145 1716 |
Combine the items on the left of the equation:
| - | 17239 2520 | x | = | 145 1716 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 145 1716 | = | 17239 2520 | 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 :
17239 2520 | x | = | - | 145 1716 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 145 1716 | ÷ | 17239 2520 |
| = | - | 145 1716 | × | 2520 17239 |
| = | - | 145 143 | × | 210 17239 |
We obtained :
| x | = | - | 30450 2465177 |
Convert the result to decimal form :
| x | = | - 0.012352 |