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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 （1278+967x)*1.044 = 1033(1+x）+311 .
Question type: Equation
Solution:Original question:
| ( | 1278 | + | 967 | x | ) | × | 261 250 | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Left side of the equation = | 1278 | × | 261 250 | + | 967 | x | × | 261 250 |
| = | 166779 125 | + | 252387 250 | x |
166779 125 | + | 252387 250 | x | = | 1033 | ( | 1 | + | x | ) | + | 311 |
| Right side of the equation = | 1033 | × | 1 | + | 1033 | x | + | 311 |
| = | 1033 | + | 1033 | x | + | 311 |
| = | 1344 | + | 1033 | x |
166779 125 | + | 252387 250 | x | = | 1344 | + | 1033 | x |
Transposition :
252387 250 | x | − | 1033 | x | = | 1344 | − | 166779 125 |
Combine the items on the left of the equation:
| - | 5863 250 | x | = | 1344 | − | 166779 125 |
Combine the items on the right of the equation:
| - | 5863 250 | x | = | 1221 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 1221 125 | = | 5863 250 | 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 :
5863 250 | x | = | - | 1221 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 1221 125 | ÷ | 5863 250 |
| = | - | 1221 125 | × | 250 5863 |
| = | - | 111 | × | 2 533 |
We obtained :
| x | = | - | 222 533 |
Convert the result to decimal form :
| x | = | - 0.41651 |