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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 (6-n)/(6-7) = (4.486-5)/(4.486-5.033) .
Question type: Equation
Solution:Original question:
| ( | 6 | − | n | ) | ÷ | ( | 6 | − | 7 | ) | = | ( | 2243 500 | − | 5 | ) | ÷ | ( | 2243 500 | − | 5033 1000 | ) |
| Multiply both sides of the equation by: | ( | 6 | − | 7 | ) | , | ( | 2243 500 | − | 5033 1000 | ) |
| ( | 6 | − | n | ) | ( | 2243 500 | − | 5033 1000 | ) | = | ( | 2243 500 | − | 5 | ) | ( | 6 | − | 7 | ) |
| 6 | ( | 2243 500 | − | 5033 1000 | ) | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | ( | 2243 500 | − | 5 | ) | ( | 6 | − | 7 | ) |
| 6 | ( | 2243 500 | − | 5033 1000 | ) | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | 2243 500 | ( | 6 | − | 7 | ) | − | 5 | ( | 6 | − | 7 | ) |
| 6 | × | 2243 500 | − | 6 | × | 5033 1000 | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | 2243 500 | ( | 6 | − | 7 | ) | − | 5 | ( | 6 | − | 7 | ) |
| 6 | × | 2243 500 | − | 6 | × | 5033 1000 | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | 2243 500 | × | 6 | − | 2243 500 | × | 7 | − | 5 | ( | 6 | − | 7 | ) |
6729 250 | − | 15099 500 | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | 6729 250 | − | 15701 500 | − | 5 | ( | 6 | − | 7 | ) |
| - | 1641 500 | − | n | ( | 2243 500 | − | 5033 1000 | ) | = | - | 2243 500 | − | 5 | ( | 6 | − | 7 | ) |
| - | 1641 500 | − | n | × | 2243 500 | + | n | × | 5033 1000 | = | - | 2243 500 | − | 5 | ( | 6 | − | 7 | ) |
| - | 1641 500 | − | n | × | 2243 500 | + | n | × | 5033 1000 | = | - | 2243 500 | − | 5 | × | 6 | + | 5 | × | 7 |
| - | 1641 500 | − | n | × | 2243 500 | + | n | × | 5033 1000 | = | - | 2243 500 | − | 30 | + | 35 |
| - | 1641 500 | + | 547 1000 | n | = | 257 500 |
Transposition :
547 1000 | n | = | 257 500 | + | 1641 500 |
Combine the items on the right of the equation:
547 1000 | n | = | 949 250 |
The coefficient of the unknown number is reduced to 1 :
| n | = | 949 250 | ÷ | 547 1000 |
| = | 949 250 | × | 1000 547 |
| = | 949 | × | 4 547 |
We obtained :
| n | = | 3796 547 |
Convert the result to decimal form :
| n | = | 6.939671 |