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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 (1.05-x)*(1-x)*(0.97-x)*(0.95-x)*(0.9-x) = 0.00045 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
x≈0.754007 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1.05-x)*(1-x)*(0.97-x)*(0.95-x)*(0.9-x) = 0.00045 .
Question type: Equation
Solution:Original question:
| ( | 21 20 | − | x | ) | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | = | 9 20000 |
| Left side of the equation = | 21 20 | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 21 20 | × | 1 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) |
| = | 21 20 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) |
| = | 21 20 | × | 97 100 | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 2037 2000 | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 2037 2000 | × | 19 20 | ( | 9 10 | − | x | ) | − | 2037 2000 | x | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x |
| = | 38703 40000 | ( | 9 10 | − | x | ) | − | 2037 2000 | x | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 97 100 | − | x | ) |
| = | 38703 40000 | × | 9 10 | − | 38703 40000 | x | − | 2037 2000 | x | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 |
| = | 348327 400000 | − | 38703 40000 | x | − | 2037 2000 | x | ( | 9 10 | − | x | ) | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x |
| = | 348327 400000 | − | 38703 40000 | x | − | 2037 2000 | x | × | 9 10 | + | 2037 2000 | x | x | − | 21 20 | x | ( | 19 20 | − | x | ) |
| = | 348327 400000 | − | 38703 40000 | x | − | 18333 20000 | x | + | 2037 2000 | x | x | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 348327 400000 | − | 75369 40000 | x | + | 2037 2000 | x | x | − | 21 20 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 21 20 | x |
| = | 348327 400000 | − | 75369 40000 | x | + | 2037 2000 | x | x | − | 21 20 | x | × | 19 20 | ( | 9 10 | − | x | ) | + | 21 20 | x |
| = | 348327 400000 | − | 75369 40000 | x | + | 2037 2000 | x | x | − | 399 400 | x | ( | 9 10 | − | x | ) | + | 21 20 | x | x |
| = | 348327 400000 | − | 75369 40000 | x | + | 2037 2000 | x | x | − | 399 400 | x | × | 9 10 | + | 399 400 | x | x |
| = | 348327 400000 | − | 75369 40000 | x | + | 2037 2000 | x | x | − | 3591 4000 | x | + | 399 400 | x | x | + | 21 20 |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 21 20 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 21 20 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
| = | 348327 400000 | − | 111279 40000 | x | + | 2037 2000 | x | x | + | 399 400 | x | x | + | 189 200 | x | x |
x≈0.754007 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》