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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 0.96531*300*(90-t) = 0.9982068*250*(t-20) .
Question type: Equation
Solution:Original question:
96531 100000 | × | 300 | ( | 90 | − | t | ) | = | 2495517 2500000 | × | 250 | ( | t | − | 20 | ) |
| Left side of the equation = | 289593 1000 | ( | 90 | − | t | ) |
289593 1000 | ( | 90 | − | t | ) | = | 2495517 2500000 | × | 250 | ( | t | − | 20 | ) |
| Left side of the equation = | 289593 1000 | × | 90 | − | 289593 1000 | t |
| = | 2606337 100 | − | 289593 1000 | t |
2606337 100 | − | 289593 1000 | t | = | 2495517 2500000 | × | 250 | ( | t | − | 20 | ) |
| Right side of the equation = | 2495517 10000 | ( | t | − | 20 | ) |
2606337 100 | − | 289593 1000 | t | = | 2495517 10000 | ( | t | − | 20 | ) |
| Right side of the equation = | 2495517 10000 | t | − | 2495517 10000 | × | 20 |
| = | 2495517 10000 | t | − | 2495517 500 |
2606337 100 | − | 289593 1000 | t | = | 2495517 10000 | t | − | 2495517 500 |
Transposition :
| - | 289593 1000 | t | − | 2495517 10000 | t | = | - | 2495517 500 | − | 2606337 100 |
Combine the items on the left of the equation:
| - | 5391447 10000 | t | = | - | 2495517 500 | − | 2606337 100 |
Combine the items on the right of the equation:
| - | 5391447 10000 | t | = | - | 7763601 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7763601 250 | = | 5391447 10000 | t |
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 :
5391447 10000 | t | = | 7763601 250 |
The coefficient of the unknown number is reduced to 1 :
| t | = | 7763601 250 | ÷ | 5391447 10000 |
| = | 7763601 250 | × | 10000 5391447 |
| = | 2587867 | × | 40 1797149 |
We obtained :
| t | = | 103514680 1797149 |
Convert the result to decimal form :
| t | = | 57.599387 |