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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 267.06371*[1+0.022[n*(n-1)/2]] = 1800000 .
Question type: Equation
Solution:Original question:
26706371 100000 | ( | 1 | + | 11 500 | ( | n | ( | n | − | 1 | ) | ÷ | 2 | ) | ) | = | 1800000 |
| Left side of the equation = | 26706371 100000 | × | 1 | + | 26706371 100000 | × | 11 500 | ( | n | ( | n | − | 1 | ) | ÷ | 2 | ) |
| = | 26706371 100000 | + | 293770081 50000000 | ( | n | ( | n | − | 1 | ) | ÷ | 2 | ) |
| = | 26706371 100000 | + | 293770081 50000000 | n | ( | n | − | 1 | ) | ÷ | 2 |
| = | 26706371 100000 | + | 293770081 100000000 | n | ( | n | − | 1 | ) |
| = | 26706371 100000 | + | 293770081 100000000 | n | n | − | 293770081 100000000 | n | × | 1 |
| = | 26706371 100000 | + | 293770081 100000000 | n | n | − | 293770081 100000000 | n |
26706371 100000 | + | 293770081 100000000 | n | n | − | 293770081 100000000 | n | = | 1800000 |
The solution of the equation:
n1≈-782.209021 , keep 6 decimal places
n2≈783.209021 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》