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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 1.43*（x-220）/2*x*[(x-220)/2+220] = 81700000 .
Question type: Equation
Solution:Original question:
143 100 | ( | x | − | 220 | ) | ÷ | 2 | × | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) | = | 81700000 |
| Left side of the equation = | 143 200 | ( | x | − | 220 | ) | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) |
143 200 | ( | x | − | 220 | ) | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) | = | 81700000 |
| Left side of the equation = | 143 200 | x | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) | − | 143 200 | × | 220 | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) |
| = | 143 200 | x | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) | − | 1573 10 | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) |
| = | 143 200 | x | x | ( | x | − | 220 | ) | ÷ | 2 | + | 143 200 | x | x | × | 220 | − | 1573 10 | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) |
| = | 143 400 | x | x | ( | x | − | 220 | ) | + | 1573 10 | x | x | − | 1573 10 | x | ( | ( | x | − | 220 | ) | ÷ | 2 | + | 220 | ) |
| = | 143 400 | x | x | x | − | 143 400 | x | x | × | 220 | + | 1573 10 | x | x | − | 1573 10 |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 10 | x |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 10 | x |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 20 | x |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 20 | x |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 20 | x |
| = | 143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 20 | x |
143 400 | x | x | x | − | 1573 20 | x | x | + | 1573 10 | x | x | − | 1573 20 | x | = | 81700000 |
the solutions is:
x≈637.758244 , 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》