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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 8244.08+9.415a = 2743.23+212.06a+9.72×(a+13)×(316.8+20.8a)÷(16+a) .
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 :
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
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≈-15.950812 , keep 6 decimal places
a2≈7.430864 , 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 8244.08+9.415a = 2743.23+212.06a+9.72×(a+13)×(316.8+20.8a)÷(16+a) .
Question type: Equation
Solution:Original question:
206102 25 | + | 1883 200 | a | = | 274323 100 | + | 10603 50 | a | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) | ÷ | ( | 16 | + | a | ) |
| Multiply both sides of the equation by: | ( | 16 | + | a | ) |
206102 25 | ( | 16 | + | a | ) | + | 1883 200 | a | ( | 16 | + | a | ) | = | 274323 100 | ( | 16 | + | a | ) | + | 10603 50 | a | ( | 16 | + | a | ) | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
206102 25 | × | 16 | + | 206102 25 | a | + | 1883 200 | a | ( | 16 | + | a | ) | = | 274323 100 | ( | 16 | + | a | ) | + | 10603 50 | a | ( | 16 | + | a | ) | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
206102 25 | × | 16 | + | 206102 25 | a | + | 1883 200 | a | ( | 16 | + | a | ) | = | 274323 100 | × | 16 | + | 274323 100 | a | + | 10603 50 | a | ( | 16 | + | a | ) | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 206102 25 | a | + | 1883 200 | a | ( | 16 | + | a | ) | = | 1097292 25 | + | 274323 100 | a | + | 10603 50 | a | ( | 16 | + | a | ) | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 206102 25 | a | + | 1883 200 | a | × | 16 | + | 1883 200 | a | a | = | 1097292 25 | + | 274323 100 | a | + | 10603 50 | a | ( | 16 | + | a | ) | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 206102 25 | a | + | 1883 200 | a | × | 16 | + | 1883 200 | a | a | = | 1097292 25 | + | 274323 100 | a | + | 10603 50 | a | × | 16 | + | 10603 50 | a | a | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 206102 25 | a | + | 3766 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 274323 100 | a | + | 84824 25 | a | + | 10603 50 | a | a | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 613619 100 | a | + | 10603 50 | a | a | + | 243 25 | ( | a | + | 13 | ) | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 613619 100 | a | + | 10603 50 | a | a | + | 243 25 | a | ( | 1584 5 | + | 104 5 | a | ) | + | 243 25 | × | 13 | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 613619 100 | a | + | 10603 50 | a | a | + | 243 25 | a | ( | 1584 5 | + | 104 5 | a | ) | + | 3159 25 | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 613619 100 | a | + | 10603 50 | a | a | + | 243 25 | a | × | 1584 5 | + | 243 25 | a | × | 104 5 |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 613619 100 | a | + | 10603 50 | a | a | + | 384912 125 | a | + | 25272 125 | a | a | + | 3159 25 |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 4607743 500 | a | + | 10603 50 | a | a | + | 25272 125 | a | a | + | 3159 25 | ( | 1584 5 | + | 104 5 | a | ) |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 4607743 500 | a | + | 10603 50 | a | a | + | 25272 125 | a | a | + | 3159 25 | × | 1584 5 | + | 3159 25 |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 1097292 25 | + | 4607743 500 | a | + | 10603 50 | a | a | + | 25272 125 | a | a | + | 5003856 125 | + | 328536 125 | a |
3297632 25 | + | 209868 25 | a | + | 1883 200 | a | a | = | 10490316 125 | + | 5921887 500 | a | + | 10603 50 | a | a | + | 25272 125 | a | a |
The solution of the equation:
a1≈-15.950812 , keep 6 decimal places
a2≈7.430864 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》