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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 （2.9825+0.00075x）×（1310-x） = （1.575＋0.00075x）×（x－100） .
Question type: Equation
Solution:Original question:
| ( | 1193 400 | + | 3 4000 | x | ) | ( | 1310 | − | x | ) | = | ( | 63 40 | + | 3 4000 | x | ) | ( | x | − | 100 | ) |
| Left side of the equation = | 1193 400 | ( | 1310 | − | x | ) | + | 3 4000 | x | ( | 1310 | − | x | ) |
| = | 1193 400 | × | 1310 | − | 1193 400 | x | + | 3 4000 | x | ( | 1310 | − | x | ) |
| = | 156283 40 | − | 1193 400 | x | + | 3 4000 | x | ( | 1310 | − | x | ) |
| = | 156283 40 | − | 1193 400 | x | + | 3 4000 | x | × | 1310 | − | 3 4000 | x | x |
| = | 156283 40 | − | 1193 400 | x | + | 393 400 | x | − | 3 4000 | x | x |
| = | 156283 40 | − | 2 | x | − | 3 4000 | x | x |
156283 40 | − | 2 | x | − | 3 4000 | x | x | = | ( | 63 40 | + | 3 4000 | x | ) | ( | x | − | 100 | ) |
| Right side of the equation = | 63 40 | ( | x | − | 100 | ) | + | 3 4000 | x | ( | x | − | 100 | ) |
| = | 63 40 | x | − | 63 40 | × | 100 | + | 3 4000 | x | ( | x | − | 100 | ) |
| = | 63 40 | x | − | 315 2 | + | 3 4000 | x | ( | x | − | 100 | ) |
| = | 63 40 | x | − | 315 2 | + | 3 4000 | x | x | − | 3 4000 | x | × | 100 |
| = | 63 40 | x | − | 315 2 | + | 3 4000 | x | x | − | 3 40 | x |
| = | 3 2 | x | − | 315 2 | + | 3 4000 | x | x |
156283 40 | − | 2 | x | − | 3 4000 | x | x | = | 3 2 | x | − | 315 2 | + | 3 4000 | x | x |
the solutions is:
x≈850.962580 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》