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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: 2 questions will be solved this time.Among them
☆2 equations
[ 1/2 Equation]
Work: Find the solution of equation 2310000×1.097×（690-T） = （9000+1000+600）×2.135×（T-250）+7634.32×1.969×(T-42)+357143×2.559×(T-200)+17857×2.528×(T-200) .
Question type: Equation
Solution:Original question:
| 2310000 | × | 1097 1000 | ( | 690 | − | T | ) | = | ( | 9000 | + | 1000 | + | 600 | ) | × | 427 200 | ( | T | − | 250 | ) | + | 190858 25 | × | 1969 1000 | ( | T | − | 42 | ) | + | 357143 | × | 2559 1000 | ( | T | − | 200 | ) | + | 17857 | × | 316 125 | ( | T | − | 200 | ) |
| Left side of the equation = | 2534070 | ( | 690 | − | T | ) |
| 2534070 | ( | 690 | − | T | ) | = | ( | 9000 | + | 1000 | + | 600 | ) | × | 427 200 | ( | T | − | 250 | ) | + | 190858 25 | × | 1969 1000 | ( | T | − | 42 | ) | + | 357143 | × | 2559 1000 | ( | T | − | 200 | ) | + | 17857 | × | 316 125 | ( | T | − | 200 | ) |
| Left side of the equation = | 2534070 | × | 690 | − | 2534070 | T |
| = | 1748508300 | − | 2534070 | T |
| 1748508300 | − | 2534070 | T | = | ( | 9000 | + | 1000 | + | 600 | ) | × | 427 200 | ( | T | − | 250 | ) | + | 190858 25 | × | 1969 1000 | ( | T | − | 42 | ) | + | 357143 | × | 2559 1000 | ( | T | − | 200 | ) | + | 17857 | × | 316 125 | ( | T | − | 200 | ) |
| Right side of the equation = | ( | 9000 | + | 1000 | + | 600 | ) | × | 427 200 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| 1748508300 | − | 2534070 | T | = | ( | 9000 | + | 1000 | + | 600 | ) | × | 427 200 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| Right side of the equation = | 9000 | × | 427 200 | ( | T | − | 250 | ) | + | 1000 | × | 427 200 | ( | T | − | 250 | ) | + | 600 | × | 427 200 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 |
| = | 19215 | ( | T | − | 250 | ) | + | 2135 | ( | T | − | 250 | ) | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| = | 19215 | T | − | 19215 | × | 250 | + | 2135 | ( | T | − | 250 | ) | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) |
| = | 19215 | T | − | 4803750 | + | 2135 | ( | T | − | 250 | ) | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 |
| = | 19215 | T | − | 4803750 | + | 2135 | T | − | 2135 | × | 250 | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 |
| = | 19215 | T | − | 4803750 | + | 2135 | T | − | 533750 | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) |
| = | 21350 | T | − | 5337500 | + | 1281 | ( | T | − | 250 | ) | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| = | 21350 | T | − | 5337500 | + | 1281 | T | − | 1281 | × | 250 | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 |
| = | 21350 | T | − | 5337500 | + | 1281 | T | − | 320250 | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| = | 22631 | T | − | 5657750 | + | 187899701 12500 | ( | T | − | 42 | ) | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| = | 22631 | T | − | 5657750 | + | 187899701 12500 | T | − | 187899701 12500 | × | 42 | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
| = | 22631 | T | − | 5657750 | + | 187899701 12500 | T | − | 3945893721 6250 | + | 913928937 1000 | ( | T | − | 200 | ) | + | 5642812 125 | ( | T | − | 200 | ) |
T≈551.322434 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
[ 2/2 Equation]
Work: Find the solution of equation T = 0 .
Question type: Equation
Solution:Original question:
| T | = | 0 |
This is the solution of the equation.