Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 8.7286（x-20） = 0.56658（438-x） .
Question type: Equation
Solution:Original question:
43643 5000 | ( | x | − | 20 | ) | = | 28329 50000 | ( | 438 | − | x | ) |
| Left side of the equation = | 43643 5000 | x | − | 43643 5000 | × | 20 |
| = | 43643 5000 | x | − | 43643 250 |
43643 5000 | x | − | 43643 250 | = | 28329 50000 | ( | 438 | − | x | ) |
| Right side of the equation = | 28329 50000 | × | 438 | − | 28329 50000 | x |
| = | 6204051 25000 | − | 28329 50000 | x |
43643 5000 | x | − | 43643 250 | = | 6204051 25000 | − | 28329 50000 | x |
Transposition :
43643 5000 | x | + | 28329 50000 | x | = | 6204051 25000 | + | 43643 250 |
Combine the items on the left of the equation:
464759 50000 | x | = | 6204051 25000 | + | 43643 250 |
Combine the items on the right of the equation:
464759 50000 | x | = | 10568351 25000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10568351 25000 | ÷ | 464759 50000 |
| = | 10568351 25000 | × | 50000 464759 |
| = | 556229 | × | 2 24461 |
We obtained :
| x | = | 1112458 24461 |
Convert the result to decimal form :
| x | = | 45.478844 |