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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 (N-35)/(N+2) = 0.506757 .
Question type: Equation
Solution:Original question:
| ( | N | − | 35 | ) | ÷ | ( | N | + | 2 | ) | = | 506757 1000000 |
| Multiply both sides of the equation by: | ( | N | + | 2 | ) |
| ( | N | − | 35 | ) | = | 506757 1000000 | ( | N | + | 2 | ) |
| N | − | 35 | = | 506757 1000000 | ( | N | + | 2 | ) |
| N | − | 35 | = | 506757 1000000 | N | + | 506757 1000000 | × | 2 |
| N | − | 35 | = | 506757 1000000 | N | + | 506757 500000 |
Transposition :
| N | − | 506757 1000000 | N | = | 506757 500000 | + | 35 |
Combine the items on the left of the equation:
493243 1000000 | N | = | 506757 500000 | + | 35 |
Combine the items on the right of the equation:
493243 1000000 | N | = | 18006757 500000 |
The coefficient of the unknown number is reduced to 1 :
| N | = | 18006757 500000 | ÷ | 493243 1000000 |
| = | 18006757 500000 | × | 1000000 493243 |
| = | 18006757 | × | 2 493243 |
We obtained :
| N | = | 36013514 493243 |
Convert the result to decimal form :
| N | = | 73.013736 |