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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 = 1 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 15 | × | x | + | 1 | ÷ | 14 | × | x | − | 1 | ÷ | 13 | + | 1 | ÷ | 12 | − | 1 | ÷ | 11 | = | 1 |
| 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 | = | 1 |
Transposition :
1661 2520 | x | = | 1 | + | 145 1716 |
Combine the items on the right of the equation:
1661 2520 | x | = | 1861 1716 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1861 1716 | ÷ | 1661 2520 |
| = | 1861 1716 | × | 2520 1661 |
| = | 1861 143 | × | 210 1661 |
We obtained :
| x | = | 390810 237523 |
Convert the result to decimal form :
| x | = | 1.645356 |