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 340*（1/（340-x）-1/（340+x）） = 2043/2040 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
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 right of the equation:：
The equation is reduced to :
The equation is reduced to :
x≈140.978972 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 340*（1/（340-x）-1/（340+x）） = 2043/2040 .
Question type: Equation
Solution:Original question:
| 340 | ( | 1 | ÷ | ( | 340 | − | x | ) | − | 1 | ÷ | ( | 340 | + | x | ) | ) | = | 2043 | ÷ | 2040 |
| 340 | × | 1 | ÷ | ( | 340 | − | x | ) | − | 340 | × | 1 | ÷ | ( | 340 | + | x | ) | = | 2043 | ÷ | 2040 |
| 340 | ÷ | ( | 340 | − | x | ) | − | 340 | ÷ | ( | 340 | + | x | ) | = | 681 680 |
| Multiply both sides of the equation by: | ( | 340 | − | x | ) |
| 340 | − | 340 | ÷ | ( | 340 | + | x | ) | × | ( | 340 | − | x | ) | = | 681 680 | ( | 340 | − | x | ) |
| 340 | − | 340 | ÷ | ( | 340 | + | x | ) | × | 340 | + | 340 | ÷ | ( | 340 | + | x | ) | × | x | = | 681 680 | ( | 340 | − | x | ) |
| 340 | − | 340 | ÷ | ( | 340 | + | x | ) | × | 340 | + | 340 | ÷ | ( | 340 | + | x | ) | × | x | = | 681 680 | × | 340 | − | 681 680 | x |
| 340 | − | 115600 | ÷ | ( | 340 | + | x | ) | + | 340 | ÷ | ( | 340 | + | x | ) | × | x | = | 681 2 | − | 681 680 | x |
| Multiply both sides of the equation by: | ( | 340 | + | x | ) |
| 340 | ( | 340 | + | x | ) | − | 115600 | + | 340 | x | = | 681 2 | ( | 340 | + | x | ) | − | 681 680 | x | ( | 340 | + | x | ) |
| 340 | × | 340 | + | 340 | x | − | 115600 | + | 340 | x | = | 681 2 | ( | 340 | + | x | ) | − | 681 680 | x | ( | 340 | + | x | ) |
| 340 | × | 340 | + | 340 | x | − | 115600 | + | 340 | x | = | 681 2 | × | 340 | + | 681 2 | x | − | 681 680 | x | ( | 340 | + | x | ) |
| 115600 | + | 340 | x | − | 115600 | + | 340 | x | = | 115770 | + | 681 2 | x | − | 681 680 | x | ( | 340 | + | x | ) |
| 0 | + | 680 | x | = | 115770 | + | 681 2 | x | − | 681 680 | x | ( | 340 | + | x | ) |
| 680 | x | = | 115770 | + | 681 2 | x | − | 681 680 | x | × | 340 | − | 681 680 | x | x |
| 680 | x | = | 115770 | + | 681 2 | x | − | 681 2 | x | − | 681 680 | x | x |
| 680 | x | = | 115770 | + | 0 | x | − | 681 680 | x | x |
x≈140.978972 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》