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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 1.3629 = 1.35994+0.08929x-0.02656x*2 .
Question type: Equation
Solution:Original question:
13629 10000 | = | 67997 50000 | + | 8929 100000 | x | − | 83 3125 | x | × | 2 |
| Right side of the equation = | 67997 50000 | + | 8929 100000 | x | − | 166 3125 | x |
| = | 67997 50000 | + | 3617 100000 | x |
13629 10000 | = | 67997 50000 | + | 3617 100000 | x |
Transposition :
| - | 3617 100000 | x | = | 67997 50000 | − | 13629 10000 |
Combine the items on the right of the equation:
| - | 3617 100000 | x | = | - | 37 12500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
37 12500 | = | 3617 100000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
3617 100000 | x | = | 37 12500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 37 12500 | ÷ | 3617 100000 |
| = | 37 12500 | × | 100000 3617 |
| = | 37 | × | 8 3617 |
We obtained :
| x | = | 296 3617 |
Convert the result to decimal form :
| x | = | 0.081836 |