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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 （109.9-x）(110-x) = (109.8-x)(109.99-x) .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
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 （109.9-x）(110-x) = (109.8-x)(109.99-x) .
Question type: Equation
Solution:Original question:
| ( | 1099 10 | − | x | ) | ( | 110 | − | x | ) | = | ( | 549 5 | − | x | ) | ( | 10999 100 | − | x | ) |
| Left side of the equation = | 1099 10 | ( | 110 | − | x | ) | − | x | ( | 110 | − | x | ) |
| = | 1099 10 | × | 110 | − | 1099 10 | x | − | x | ( | 110 | − | x | ) |
| = | 12089 | − | 1099 10 | x | − | x | ( | 110 | − | x | ) |
| = | 12089 | − | 1099 10 | x | − | x | × | 110 | + | x | x |
| = | 12089 | − | 2199 10 | x | + | x | x |
| 12089 | − | 2199 10 | x | + | x | x | = | ( | 549 5 | − | x | ) | ( | 10999 100 | − | x | ) |
| Right side of the equation = | 549 5 | ( | 10999 100 | − | x | ) | − | x | ( | 10999 100 | − | x | ) |
| = | 549 5 | × | 10999 100 | − | 549 5 | x | − | x | ( | 10999 100 | − | x | ) |
| = | 6038451 500 | − | 549 5 | x | − | x | ( | 10999 100 | − | x | ) |
| = | 6038451 500 | − | 549 5 | x | − | x | × | 10999 100 | + | x | x |
| = | 6038451 500 | − | 21979 100 | x | + | x | x |
| 12089 | − | 2199 10 | x | + | x | x | = | 6038451 500 | − | 21979 100 | x | + | x | x |
| x= | 6049 55 |
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》