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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 0.8*0.909*(90-x)+1.2*1.0045*(20-x) = 0 .
Question type: Equation
Solution:Original question:
4 5 | × | 909 1000 | ( | 90 | − | x | ) | + | 6 5 | × | 2009 2000 | ( | 20 | − | x | ) | = | 0 |
| Left side of the equation = | 909 1250 | ( | 90 | − | x | ) | + | 6027 5000 | ( | 20 | − | x | ) |
909 1250 | ( | 90 | − | x | ) | + | 6027 5000 | ( | 20 | − | x | ) | = | 0 |
| Left side of the equation = | 909 1250 | × | 90 | − | 909 1250 | x | + | 6027 5000 | ( | 20 | − | x | ) |
| = | 8181 125 | − | 909 1250 | x | + | 6027 5000 | ( | 20 | − | x | ) |
| = | 8181 125 | − | 909 1250 | x | + | 6027 5000 | × | 20 | − | 6027 5000 | x |
| = | 8181 125 | − | 909 1250 | x | + | 6027 250 | − | 6027 5000 | x |
| = | 22389 250 | − | 9663 5000 | x |
22389 250 | − | 9663 5000 | x | = | 0 |
Transposition :
| - | 9663 5000 | x | = | 0 | − | 22389 250 |
Combine the items on the right of the equation:
| - | 9663 5000 | x | = | - | 22389 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
22389 250 | = | 9663 5000 | 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 :
9663 5000 | x | = | 22389 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 22389 250 | ÷ | 9663 5000 |
| = | 22389 250 | × | 5000 9663 |
| = | 7463 | × | 20 3221 |
We obtained :
| x | = | 149260 3221 |
Convert the result to decimal form :
| x | = | 46.339646 |