Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 8.442+52.03x = 93.62+1157x*(1-x)/(1-0.05)+0.484x+(0.2475xx)/(1-0.05)*4.18/32 .
Question type: Equation
Solution:Original question:
4221 500 | + | 5203 100 | x | = | 4681 50 | + | 1157 | x | ( | 1 | − | x | ) | ÷ | ( | 1 | − | 1 20 | ) | + | 121 250 | x | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) | × | 209 50 | ÷ | 32 |
| Multiply both sides of the equation by: | ( | 1 | − | 1 20 | ) |
4221 500 | ( | 1 | − | 1 20 | ) | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | = | 4681 50 | ( | 1 | − | 1 20 | ) | + | 1157 | x | ( | 1 | − | x | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) | × | 209 50 | ÷ | 32 |
4221 500 | × | 1 | − | 4221 500 | × | 1 20 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | = | 4681 50 | ( | 1 | − | 1 20 | ) | + | 1157 | x | ( | 1 | − | x | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) | × | 209 50 | ÷ | 32 |
4221 500 | × | 1 | − | 4221 500 | × | 1 20 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | = | 4681 50 | × | 1 | − | 4681 50 | × | 1 20 | + | 1157 | x | ( | 1 | − | x | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) |
4221 500 | − | 4221 10000 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | = | 4681 50 | − | 4681 1000 | + | 1157 | x | ( | 1 | − | x | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) | × | 209 1600 | ( | 1 | − | 1 20 | ) |
80199 10000 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | = | 88939 1000 | + | 1157 | x | ( | 1 | − | x | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | ÷ | ( | 1 | − | 1 20 | ) | × | 209 1600 | ( | 1 | − | 1 20 | ) |
| Multiply both sides of the equation by: | ( | 1 | − | 1 20 | ) |
80199 10000 | ( | 1 | − | 1 20 | ) | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | = | 88939 1000 | ( | 1 | − | 1 20 | ) | + | 1157 | x | ( | 1 | − | x | ) | ( | 1 | − | 1 20 | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | × | 209 1600 |
80199 10000 | × | 1 | − | 80199 10000 | × | 1 20 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | = | 88939 1000 | ( | 1 | − | 1 20 | ) | + | 1157 | x | ( | 1 | − | x | ) | ( | 1 | − | 1 20 | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | × | 209 1600 |
80199 10000 | × | 1 | − | 80199 10000 | × | 1 20 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | = | 88939 1000 | × | 1 | − | 88939 1000 | × | 1 20 | + | 1157 | x | ( | 1 | − | x | ) | ( | 1 | − | 1 20 | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) |
80199 10000 | − | 80199 200000 | + | 5203 100 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | = | 88939 1000 | − | 88939 20000 | + | 1157 | x | ( | 1 | − | x | ) | ( | 1 | − | 1 20 | ) | + | 121 250 | x | ( | 1 | − | 1 20 | ) | ( | 1 | − | 1 20 | ) | + | ( | 99 400 | x | x | ) | × | 209 1600 |
The solution of the equation:
x1≈0.072020 , keep 6 decimal places
x2≈0.971098 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》