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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 877.26×1.5×（3.9+t）-625.48×（3.9+1.5t） = 0 .
Question type: Equation
Solution:Original question:
43863 50 | × | 3 2 | ( | 39 10 | + | t | ) | − | 15637 25 | ( | 39 10 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 131589 100 | ( | 39 10 | + | t | ) | − | 15637 25 | ( | 39 10 | + | 3 2 | t | ) |
131589 100 | ( | 39 10 | + | t | ) | − | 15637 25 | ( | 39 10 | + | 3 2 | t | ) | = | 0 |
| Left side of the equation = | 131589 100 | × | 39 10 | + | 131589 100 | t | − | 15637 25 | ( | 39 10 | + | 3 2 | t | ) |
| = | 5131971 1000 | + | 131589 100 | t | − | 15637 25 | ( | 39 10 | + | 3 2 | t | ) |
| = | 5131971 1000 | + | 131589 100 | t | − | 15637 25 | × | 39 10 | − | 15637 25 | × | 3 2 | t |
| = | 5131971 1000 | + | 131589 100 | t | − | 609843 250 | − | 46911 50 | t |
| = | 2692599 1000 | + | 37767 100 | t |
2692599 1000 | + | 37767 100 | t | = | 0 |
Transposition :
37767 100 | t | = | 0 | − | 2692599 1000 |
Combine the items on the right of the equation:
37767 100 | t | = | - | 2692599 1000 |
The coefficient of the unknown number is reduced to 1 :
| t | = | - | 2692599 1000 | ÷ | 37767 100 |
| = | - | 2692599 1000 | × | 100 37767 |
| = | - | 897533 10 | × | 1 12589 |
We obtained :
| t | = | - | 897533 125890 |
Convert the result to decimal form :
| t | = | - 7.129502 |