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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 4.9*(2*x-0.29)*(5.01+1.005*(2*x-0.29))-7 = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The solution of the equation:
x1≈-2.482772 , keep 6 decimal places
x2≈0.280235 , 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 4.9*(2*x-0.29)*(5.01+1.005*(2*x-0.29))-7 = 0 .
Question type: Equation
Solution:Original question:
49 10 | ( | 2 | x | − | 29 100 | ) | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 | = | 0 |
| Left side of the equation = | 49 10 | × | 2 | x | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 49 10 | × | 29 100 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 49 5 | x | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 49 5 | x | × | 501 100 | + | 49 5 | x | × | 201 200 | ( | 2 | x | − | 29 100 | ) | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 24549 500 | x | + | 9849 1000 | x | ( | 2 | x | − | 29 100 | ) | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 24549 500 | x | + | 9849 1000 | x | × | 2 | x | − | 9849 1000 | x | × | 29 100 | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 24549 500 | x | + | 9849 500 | x | x | − | 285621 100000 | x | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 1421 1000 | ( | 501 100 | + | 201 200 | ( | 2 | x | − | 29 100 | ) | ) | − | 7 |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 1421 1000 | × | 501 100 | − | 1421 1000 | × | 201 200 | ( | 2 | x | − | 29 100 | ) | − | 7 |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 711921 100000 | − | 285621 200000 | ( | 2 | x | − | 29 100 | ) | − | 7 |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 1411921 100000 | − | 285621 200000 | ( | 2 | x | − | 29 100 | ) |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 1411921 100000 | − | 285621 200000 | × | 2 | x | + | 285621 200000 | × | 29 100 |
| = | 4624179 100000 | x | + | 9849 500 | x | x | − | 1411921 100000 | − | 285621 100000 | x | + | 8283009 20000000 |
The solution of the equation:
x1≈-2.482772 , keep 6 decimal places
x2≈0.280235 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》