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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 (0.000233174+0.00002576097830214455*x-0.000000144252297871459*x*x)*(x-30.9412671897819) = 0 .
Question type: Equation
Solution:Original question:
| ( | 116587 500000000 | + | 2576097830214455 9223372036854775807 | x | − | 144252297871459 9223372036854775807 | x | x | ) | ( | x | − | 309412671897819 10000000000000 | ) | = | 0 |
| Left side of the equation = | 116587 500000000 | ( | x | − | 309412671897819 10000000000000 | ) | + | 2576097830214455 9223372036854775807 | x | ( | x | − | 309412671897819 10000000000000 | ) | − | 144252297871459 9223372036854775807 | x | x | ( | x | − | 309412671897819 10000000000000 | ) |
| = | 116587 500000000 | x | − | 116587 500000000 | × | 309412671897819 10000000000000 | + | 2576097830214455 9223372036854775807 | x | ( | x | − | 309412671897819 10000000000000 | ) | − | 144252297871459 9223372036854775807 | x | x | ( | x | − | 309412671897819 10000000000000 | ) |
After the equation is converted into a general formula, there is a common factor:
( 500x +√18636533 )
From
500x +√18636533 = 0
it is concluded that:：
| x1= | - | √18636533 500 |
Solutions that cannot be obtained by factorization:
x2≈30.941267 , keep 6 decimal places
x3≈187.216804 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》