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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 36*(1+a*a/6.25) = a*a*(1+a*a/4)*(1+a*a/25)*(1+a*a/150.0625) .
Question type: Equation
Solution:Original question:
| 36 | ( | 1 | + | a | a | ÷ | 25 4 | ) | = | a | a | ( | 1 | + | a | a | ÷ | 4 | ) | ( | 1 | + | a | a | ÷ | 25 | ) | ( | 1 | + | a | a | ÷ | 2401 16 | ) |
| Left side of the equation = | 36 | × | 1 | + | 36 | a | a | ÷ | 25 4 |
| = | 36 | + | 144 25 | a | a |
| 36 | + | 144 25 | a | a | = | a | a | ( | 1 | + | a | a | ÷ | 4 | ) | ( | 1 | + | a | a | ÷ | 25 | ) | ( | 1 | + | a | a | ÷ | 2401 16 | ) |
| Right side of the equation = | a | a | × | 1 | ( | 1 | + | a | a | ÷ | 25 | ) | ( | 1 | + | a | a | ÷ | 2401 16 | ) | + | a | a | a | a | ÷ | 4 | × | ( | 1 | + | a | a | ÷ | 25 | ) | ( | 1 | + | a | a | ÷ | 2401 16 | ) |
| = | a | a | × | 1 | × | 1 | ( | 1 | + | a | a | ÷ | 2401 16 | ) | + | a | a | × | 1 | a | a | ÷ | 25 | × | ( | 1 | + | a | a | ÷ | 2401 16 | ) |
| = | a | a | × | 1 | ( | 1 | + | a | a | ÷ | 2401 16 | ) | + | a | a | × | 1 25 | a | a | ( | 1 | + | a | a | ÷ | 2401 16 | ) | + | a | a |
| = | a | a | × | 1 | × | 1 | + | a | a | × | 1 | a | a | ÷ | 2401 16 | + | a | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
| 36 | + | 144 25 | a | a | = | a | a | × | 1 | + | a | a | × | 16 2401 | a | a | + | a | a | × | 1 25 | a |
The solution of the equation:
a1≈-3.842844 , keep 6 decimal places
a2≈3.842844 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》