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 98x÷64+58（1.52-x）÷24 = 2.54 .
Question type: Equation
Solution:Original question:
| 98 | x | ÷ | 64 | + | 58 | ( | 38 25 | − | x | ) | ÷ | 24 | = | 127 50 |
| Left side of the equation = | 49 32 | x | + | 29 12 | ( | 38 25 | − | x | ) |
49 32 | x | + | 29 12 | ( | 38 25 | − | x | ) | = | 127 50 |
| Left side of the equation = | 49 32 | x | + | 29 12 | × | 38 25 | − | 29 12 | x |
| = | 49 32 | x | + | 551 150 | − | 29 12 | x |
| = | - | 85 96 | x | + | 551 150 |
| - | 85 96 | x | + | 551 150 | = | 127 50 |
Transposition :
| - | 85 96 | x | = | 127 50 | − | 551 150 |
Combine the items on the right of the equation:
| - | 85 96 | x | = | - | 17 15 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
17 15 | = | 85 96 | 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 :
85 96 | x | = | 17 15 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 17 15 | ÷ | 85 96 |
| = | 17 15 | × | 96 85 |
| = | 1 5 | × | 32 5 |
We obtained :
| x | = | 32 25 |
Convert the result to decimal form :
| x | = | 1.28 |