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 (n+1.1111)(1.1143-n) = (n+1.116)(1.1111-n) .
Question type: Equation
Solution:Original question:
| ( | n | + | 11111 10000 | ) | ( | 11143 10000 | − | n | ) | = | ( | n | + | 279 250 | ) | ( | 11111 10000 | − | n | ) |
| Left side of the equation = | n | ( | 11143 10000 | − | n | ) | + | 11111 10000 | ( | 11143 10000 | − | n | ) |
| = | n | × | 11143 10000 | − | n | n | + | 11111 10000 | ( | 11143 10000 | − | n | ) |
| = | 11143 10000 | n | − | n | n | + | 11111 10000 | × | 11143 10000 | − | 11111 10000 | n |
| = | 11143 10000 | n | − | n | n | + | 123809873 100000000 | − | 11111 10000 | n |
| = | 2 625 | n | − | n | n | + | 123809873 100000000 |
2 625 | n | − | n | n | + | 123809873 100000000 | = | ( | n | + | 279 250 | ) | ( | 11111 10000 | − | n | ) |
| Right side of the equation = | n | ( | 11111 10000 | − | n | ) | + | 279 250 | ( | 11111 10000 | − | n | ) |
| = | n | × | 11111 10000 | − | n | n | + | 279 250 | ( | 11111 10000 | − | n | ) |
| = | 11111 10000 | n | − | n | n | + | 279 250 | × | 11111 10000 | − | 279 250 | n |
| = | 11111 10000 | n | − | n | n | + | 3099969 2500000 | − | 279 250 | n |
| = | - | 49 10000 | n | − | n | n | + | 3099969 2500000 |
2 625 | n | − | n | n | + | 123809873 100000000 | = | - | 49 10000 | n | − | n | n | + | 3099969 2500000 |
n≈0.233194 , 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》