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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 196.6855*(1.7143-a)*(2.5714-4a)*(2.5714-4a)*(2.5714-4a)*(2.5714-4a) = 16a*a*a*a .
Question type: Equation
Solution:Original question:
393371 2000 | ( | 17143 10000 | − | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | = | 16 | a | a | a | a |
| Left side of the equation = | 393371 2000 | × | 17143 10000 | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | − | 393371 2000 | a | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) |
| = | 6743559053 20000000 | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | − | 393371 2000 | a | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) |
| = | 6743559053 20000000 | × | 12857 5000 | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | − | 6743559053 20000000 | × | 4 | a | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | ( | 12857 5000 | − | 4 | a | ) | − | 393371 2000 |
The solution of the equation:
a1≈0.569361 , keep 6 decimal places
a2≈0.742733 , keep 6 decimal places
a3≈1.712211 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》