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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 a*a/3.5/3.5+6.012*6.012/(a+5.988)/(a+5.988) = 1 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
The solution of the equation:
a1≈0.024143 , keep 6 decimal places
a2≈2.458400 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation a*a/3.5/3.5+6.012*6.012/(a+5.988)/(a+5.988) = 1 .
Question type: Equation
Solution:Original question:
| a | a | ÷ | 7 2 | ÷ | 7 2 | + | 1503 250 | × | 1503 250 | ÷ | ( | a | + | 1497 250 | ) | ÷ | ( | a | + | 1497 250 | ) | = | 1 |
| Multiply both sides of the equation by: | ( | a | + | 1497 250 | ) |
| a | a | ÷ | 7 2 | ÷ | 7 2 | × | ( | a | + | 1497 250 | ) | + | 1503 250 | × | 1503 250 | ÷ | ( | a | + | 1497 250 | ) | = | 1 | ( | a | + | 1497 250 | ) |
| a | a | ÷ | 7 2 | ÷ | 7 2 | × | a | + | a | a | ÷ | 7 2 | ÷ | 7 2 | × | 1497 250 | + | 1503 250 | × | 1503 250 | = | 1 | ( | a | + | 1497 250 | ) |
| a | a | ÷ | 7 2 | ÷ | 7 2 | × | a | + | a | a | ÷ | 7 2 | ÷ | 7 2 | × | 1497 250 | + | 1503 250 | × | 1503 250 | = | 1 | a | + | 1 | × | 1497 250 |
| a | a | × | 4 49 | a | + | a | a | × | 2994 6125 | + | 2259009 62500 | ÷ | ( | a | + | 1497 250 | ) | = | 1 | a | + | 1497 250 |
| Multiply both sides of the equation by: | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | ( | a | + | 1497 250 | ) | + | a | a | × | 2994 6125 | ( | a | + | 1497 250 | ) | + | 2259009 62500 | = | 1 | a | ( | a | + | 1497 250 | ) | + | 1497 250 | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | a | + | a | a | × | 4 49 | a | × | 1497 250 | + | a | a | = | 1 | a | ( | a | + | 1497 250 | ) | + | 1497 250 | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | a | + | a | a | × | 4 49 | a | × | 1497 250 | + | a | a | = | 1 | a | a | + | 1 | a | × | 1497 250 | + | 1497 250 | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | a | + | a | a | × | 2994 6125 | a | + | a | a | × | 2994 6125 | = | 1 | a | a | + | 1497 250 | a | + | 1497 250 | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | a | + | a | a | × | 2994 6125 | a | + | a | a | × | 2994 6125 | = | 1 | a | a | + | 1497 250 | a | + | 1497 250 | ( | a | + | 1497 250 | ) |
| a | a | × | 4 49 | a | a | + | a | a | × | 2994 6125 | a | + | a | a | × | 2994 6125 | = | 1 | a | a | + | 1497 250 | a | + | 1497 250 | a | + | 1497 250 | × | 1497 250 |
| a | a | × | 4 49 | a | a | + | a | a | × | 2994 6125 | a | + | a | a | × | 2994 6125 | = | 1 | a | a | + | 1497 250 | a | + | 1497 250 | a | + | 2241009 62500 |
| a | a | × | 4 49 | a | a | + | a | a | × | 2994 6125 | a | + | a | a | × | 2994 6125 | = | 1 | a | a | + | 1497 125 | a | + | 2241009 62500 |
The solution of the equation:
a1≈0.024143 , keep 6 decimal places
a2≈2.458400 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》