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 (21.978-x)/4 = x*5/98.6 .
Question type: Equation
Solution:Original question:
| ( | 10989 500 | − | x | ) | ÷ | 4 | = | x | × | 5 | ÷ | 493 5 |
| Left side of the equation = | 10989 500 | × | 1 4 | − | x | × | 1 4 |
| = | 10989 2000 | − | x | × | 1 4 |
10989 2000 | − | 1 4 | x | = | x | × | 5 | ÷ | 493 5 |
| Right side of the equation = | x | × | 25 493 |
10989 2000 | − | 1 4 | x | = | 25 493 | x |
Transposition :
| - | 1 4 | x | − | 25 493 | x | = | - | 10989 2000 |
Combine the items on the left of the equation:
| - | 593 1972 | x | = | - | 10989 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
10989 2000 | = | 593 1972 | 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 :
593 1972 | x | = | 10989 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10989 2000 | ÷ | 593 1972 |
| = | 10989 2000 | × | 1972 593 |
| = | 10989 500 | × | 493 593 |
We obtained :
| x | = | 5417577 296500 |
Convert the result to decimal form :
| x | = | 18.271761 |