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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 1129×1.5×（4.74+t）-452×（4.74+1.5t） = 0 .
Question type: Equation
Solution:Original question:
| 1129 | × | 3 2 | ( | 237 50 | + | t | ) | − | 452 | ( | 237 50 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 3387 2 | ( | 237 50 | + | t | ) | − | 452 | ( | 237 50 | + | 3 2 | t | ) |
3387 2 | ( | 237 50 | + | t | ) | − | 452 | ( | 237 50 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 3387 2 | × | 237 50 | + | 3387 2 | t | − | 452 | ( | 237 50 | + | 3 2 | t | ) |
| = | 802719 100 | + | 3387 2 | t | − | 452 | ( | 237 50 | + | 3 2 | t | ) |
| = | 802719 100 | + | 3387 2 | t | − | 452 | × | 237 50 | − | 452 | × | 3 2 | t |
| = | 802719 100 | + | 3387 2 | t | − | 53562 25 | − | 678 | t |
| = | 588471 100 | + | 2031 2 | t |
588471 100 | + | 2031 2 | t | = | 0 |
Transposition :
2031 2 | t | = | 0 | − | 588471 100 |
Combine the items on the right of the equation:
2031 2 | t | = | - | 588471 100 |
The coefficient of the unknown number is reduced to 1 :
| t | = | - | 588471 100 | ÷ | 2031 2 |
| = | - | 588471 100 | × | 2 2031 |
| = | - | 196157 50 | × | 1 677 |
We obtained :
| t | = | - | 196157 33850 |
Convert the result to decimal form :
| t | = | - 5.794889 |