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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 82.44（k+20） = 60（20-k） .
Question type: Equation
Solution:Original question:
2061 25 | ( | k | + | 20 | ) | = | 60 | ( | 20 | − | k | ) |
| Left side of the equation = | 2061 25 | k | + | 2061 25 | × | 20 |
| = | 2061 25 | k | + | 8244 5 |
2061 25 | k | + | 8244 5 | = | 60 | ( | 20 | − | k | ) |
| Right side of the equation = | 60 | × | 20 | − | 60 | k |
| = | 1200 | − | 60 | k |
2061 25 | k | + | 8244 5 | = | 1200 | − | 60 | k |
Transposition :
2061 25 | k | + | 60 | k | = | 1200 | − | 8244 5 |
Combine the items on the left of the equation:
3561 25 | k | = | 1200 | − | 8244 5 |
Combine the items on the right of the equation:
3561 25 | k | = | - | 2244 5 |
The coefficient of the unknown number is reduced to 1 :
| k | = | - | 2244 5 | ÷ | 3561 25 |
| = | - | 2244 5 | × | 25 3561 |
| = | - | 748 | × | 5 1187 |
We obtained :
| k | = | - | 3740 1187 |
Convert the result to decimal form :
| k | = | - 3.1508 |