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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-6)/(7-6) = (4.5-4.3553)/(4.8684-4.3553) .
Question type: Equation
Solution:Original question:
| ( | N | − | 6 | ) | ÷ | ( | 7 | − | 6 | ) | = | ( | 9 2 | − | 43553 10000 | ) | ÷ | ( | 12171 2500 | − | 43553 10000 | ) |
| Multiply both sides of the equation by: | ( | 7 | − | 6 | ) | , | ( | 12171 2500 | − | 43553 10000 | ) |
| ( | N | − | 6 | ) | ( | 12171 2500 | − | 43553 10000 | ) | = | ( | 9 2 | − | 43553 10000 | ) | ( | 7 | − | 6 | ) |
| N | ( | 12171 2500 | − | 43553 10000 | ) | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | ( | 9 2 | − | 43553 10000 | ) | ( | 7 | − | 6 | ) |
| N | ( | 12171 2500 | − | 43553 10000 | ) | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | 9 2 | ( | 7 | − | 6 | ) | − | 43553 10000 | ( | 7 | − | 6 | ) |
| N | × | 12171 2500 | − | N | × | 43553 10000 | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | 9 2 | ( | 7 | − | 6 | ) | − | 43553 10000 | ( | 7 | − | 6 | ) |
| N | × | 12171 2500 | − | N | × | 43553 10000 | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | 9 2 | × | 7 | − | 9 2 | × | 6 | − | 43553 10000 | ( | 7 | − | 6 | ) |
| N | × | 12171 2500 | − | N | × | 43553 10000 | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | 63 2 | − | 27 | − | 43553 10000 | ( | 7 | − | 6 | ) |
5131 10000 | N | − | 6 | ( | 12171 2500 | − | 43553 10000 | ) | = | 9 2 | − | 43553 10000 | ( | 7 | − | 6 | ) |
5131 10000 | N | − | 6 | × | 12171 2500 | + | 6 | × | 43553 10000 | = | 9 2 | − | 43553 10000 | ( | 7 | − | 6 | ) |
5131 10000 | N | − | 6 | × | 12171 2500 | + | 6 | × | 43553 10000 | = | 9 2 | − | 43553 10000 | × | 7 | + | 43553 10000 | × | 6 |
5131 10000 | N | − | 36513 1250 | + | 130659 5000 | = | 9 2 | − | 304871 10000 | + | 130659 5000 |
5131 10000 | N | − | 15393 5000 | = | 1447 10000 |
Transposition :
5131 10000 | N | = | 1447 10000 | + | 15393 5000 |
Combine the items on the right of the equation:
5131 10000 | N | = | 32233 10000 |
The coefficient of the unknown number is reduced to 1 :
| N | = | 32233 10000 | ÷ | 5131 10000 |
| = | 32233 10000 | × | 10000 5131 |
| = | 32233 | × | 1 5131 |
We obtained :
| N | = | 32233 5131 |
Convert the result to decimal form :
| N | = | 6.282011 |