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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 446*0.388+0.618*x+0.588*(1261-446-x) = 753.67 .
Question type: Equation
Solution:Original question:
| 446 | × | 97 250 | + | 309 500 | x | + | 147 250 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 21631 125 | + | 309 500 | x | + | 147 250 | ( | 1261 | − | 446 | − | x | ) |
21631 125 | + | 309 500 | x | + | 147 250 | ( | 1261 | − | 446 | − | x | ) | = | 75367 100 |
| Left side of the equation = | 21631 125 | + | 309 500 | x | + | 147 250 | × | 1261 | − | 147 250 | × | 446 | − | 147 250 | x |
| = | 21631 125 | + | 309 500 | x | + | 185367 250 | − | 32781 125 | − | 147 250 | x |
| = | 163067 250 | + | 3 100 | x |
163067 250 | + | 3 100 | x | = | 75367 100 |
Transposition :
3 100 | x | = | 75367 100 | − | 163067 250 |
Combine the items on the right of the equation:
3 100 | x | = | 50701 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 50701 500 | ÷ | 3 100 |
| = | 50701 500 | × | 100 3 |
| = | 50701 5 | × | 1 3 |
We obtained :
| x | = | 50701 15 |
Convert the result to decimal form :
| x | = | 3380.066667 |