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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 [(4.5+x)/1.06-0.716]/0.65*0.35-0.7160 = X .
Question type: Equation
Solution:Original question:
| ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 179 250 | ) | ÷ | 13 20 | × | 7 20 | − | 179 250 | = | x |
| Left side of the equation = | ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 179 250 | ) | × | 7 13 | − | 179 250 |
| ( | ( | 9 2 | + | x | ) | ÷ | 53 50 | − | 179 250 | ) | × | 7 13 | − | 179 250 | = | x |
| Left side of the equation = | ( | 9 2 | + | x | ) | ÷ | 53 50 | × | 7 13 | − | 179 250 | × | 7 13 | − | 179 250 |
| = | ( | 9 2 | + | x | ) | × | 350 689 | − | 1253 3250 | − | 179 250 |
| = | ( | 9 2 | + | x | ) | × | 350 689 | − | 358 325 |
| = | 9 2 | × | 350 689 | + | x | × | 350 689 | − | 358 325 |
| = | 1575 689 | + | x | × | 350 689 | − | 358 325 |
| = | 20401 17225 | + | 350 689 | x |
20401 17225 | + | 350 689 | x | = | x |
Transposition :
350 689 | x | − | x | = | - | 20401 17225 |
Combine the items on the left of the equation:
| - | 339 689 | x | = | - | 20401 17225 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
20401 17225 | = | 339 689 | 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 :
339 689 | x | = | 20401 17225 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20401 17225 | ÷ | 339 689 |
| = | 20401 17225 | × | 689 339 |
| = | 20401 25 | × | 1 339 |
We obtained :
| x | = | 20401 8475 |
Convert the result to decimal form :
| x | = | 2.407198 |