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 500/(x+100)-564.25/(x+112.85) = 2.323 .
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 :
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 :
The solution of the equation:
x1≈-176.610543 , keep 6 decimal places
x2≈-63.897658 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 500/(x+100)-564.25/(x+112.85) = 2.323 .
Question type: Equation
Solution:Original question:
| 500 | ÷ | ( | x | + | 100 | ) | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | = | 2323 1000 |
| Multiply both sides of the equation by: | ( | x | + | 100 | ) |
| 500 | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | ( | x | + | 100 | ) | = | 2323 1000 | ( | x | + | 100 | ) |
| 500 | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | x | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | 100 | = | 2323 1000 | ( | x | + | 100 | ) |
| 500 | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | x | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | 100 | = | 2323 1000 | x | + | 2323 1000 | × | 100 |
| 500 | − | 2257 4 | ÷ | ( | x | + | 2257 20 | ) | × | x | − | 56425 | ÷ | ( | x | + | 2257 20 | ) | = | 2323 1000 | x | + | 2323 10 |
| Multiply both sides of the equation by: | ( | x | + | 2257 20 | ) |
| 500 | ( | x | + | 2257 20 | ) | − | 2257 4 | x | − | 56425 | = | 2323 1000 | x | ( | x | + | 2257 20 | ) | + | 2323 10 | ( | x | + | 2257 20 | ) |
| 500 | x | + | 500 | × | 2257 20 | − | 2257 4 | x | − | 56425 | = | 2323 1000 | x | ( | x | + | 2257 20 | ) | + | 2323 10 | ( | x | + | 2257 20 | ) |
| 500 | x | + | 500 | × | 2257 20 | − | 2257 4 | x | − | 56425 | = | 2323 1000 | x | x | + | 2323 1000 | x | × | 2257 20 | + | 2323 10 | ( | x | + | 2257 20 | ) |
| 500 | x | + | 56425 | − | 2257 4 | x | − | 56425 | = | 2323 1000 | x | x | + | 5243011 20000 | x | + | 2323 10 | ( | x | + | 2257 20 | ) |
| - | 257 4 | x | + | 0 | = | 2323 1000 | x | x | + | 5243011 20000 | x | + | 2323 10 | ( | x | + | 2257 20 | ) |
| - | 257 4 | x | = | 2323 1000 | x | x | + | 5243011 20000 | x | + | 2323 10 | x | + | 2323 10 | × | 2257 20 |
| - | 257 4 | x | = | 2323 1000 | x | x | + | 5243011 20000 | x | + | 2323 10 | x | + | 5243011 200 |
| - | 257 4 | x | = | 2323 1000 | x | x | + | 9889011 20000 | x | + | 5243011 200 |
The solution of the equation:
x1≈-176.610543 , keep 6 decimal places
x2≈-63.897658 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》