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 (1.2-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≈0.771126 , 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 (1.2-x)*(1-x)*(0.97-x)*(0.95-x)*(0.9-x) = 0.00045 .
Question type: Equation
Solution:Original question:
| ( | 6 5 | − | x | ) | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | = | 9 20000 |
| Left side of the equation = | 6 5 | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 6 5 | × | 1 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) |
| = | 6 5 | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 97 100 | − | x | ) |
| = | 6 5 | × | 97 100 | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) |
| = | 291 250 | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 97 100 | − | x | ) | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 291 250 | × | 19 20 | ( | 9 10 | − | x | ) | − | 291 250 | x | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x |
| = | 5529 5000 | ( | 9 10 | − | x | ) | − | 291 250 | x | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 97 100 | − | x | ) |
| = | 5529 5000 | × | 9 10 | − | 5529 5000 | x | − | 291 250 | x | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 |
| = | 49761 50000 | − | 5529 5000 | x | − | 291 250 | x | ( | 9 10 | − | x | ) | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x |
| = | 49761 50000 | − | 5529 5000 | x | − | 291 250 | x | × | 9 10 | + | 291 250 | x | x | − | 6 5 | x | ( | 19 20 | − | x | ) |
| = | 49761 50000 | − | 5529 5000 | x | − | 2619 2500 | x | + | 291 250 | x | x | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) |
| = | 49761 50000 | − | 10767 5000 | x | + | 291 250 | x | x | − | 6 5 | x | ( | 19 20 | − | x | ) | ( | 9 10 | − | x | ) | − | 6 5 | x |
| = | 49761 50000 | − | 10767 5000 | x | + | 291 250 | x | x | − | 6 5 | x | × | 19 20 | ( | 9 10 | − | x | ) | + | 6 5 | x |
| = | 49761 50000 | − | 10767 5000 | x | + | 291 250 | x | x | − | 57 50 | x | ( | 9 10 | − | x | ) | + | 6 5 | x | x |
| = | 49761 50000 | − | 10767 5000 | x | + | 291 250 | x | x | − | 57 50 | x | × | 9 10 | + | 57 50 | x | x |
| = | 49761 50000 | − | 10767 5000 | x | + | 291 250 | x | x | − | 513 500 | x | + | 57 50 | x | x | + | 6 5 |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 6 5 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 6 5 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
| = | 49761 50000 | − | 15897 5000 | x | + | 291 250 | x | x | + | 57 50 | x | x | + | 27 25 | x | x |
x≈0.771126 , 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》