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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 (9-5.944*x)*(6.6-5.612*x)*(2.8-3.583*x)-(9-5.944*x)*2.8*2.8-3.8*3.8*(2.8-3.583*x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 9 | − | 743 125 | x | ) | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 14 5 | × | 14 5 | − | 19 5 | × | 19 5 | ( | 14 5 | − | 3583 1000 | x | ) | = | 0 |
| Left side of the equation = | ( | 9 | − | 743 125 | x | ) | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 | − | 361 25 | ( | 14 5 | − | 3583 1000 | x | ) |
| ( | 9 | − | 743 125 | x | ) | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 | − | 361 25 | ( | 14 5 | − | 3583 1000 | x | ) | = | 0 |
| Left side of the equation = | 9 | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 | − | 361 25 | ( | 14 5 | − | 3583 1000 | x | ) |
| = | 9 | × | 33 5 | ( | 14 5 | − | 3583 1000 | x | ) | − | 9 | × | 1403 250 | x | ( | 14 5 | − | 3583 1000 | x | ) | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) |
| = | 297 5 | ( | 14 5 | − | 3583 1000 | x | ) | − | 12627 250 | x | ( | 14 5 | − | 3583 1000 | x | ) | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 | − | 361 25 |
| = | 297 5 | × | 14 5 | − | 297 5 | × | 3583 1000 | x | − | 12627 250 | x | ( | 14 5 | − | 3583 1000 | x | ) | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) |
| = | 4158 25 | − | 1064151 5000 | x | − | 12627 250 | x | ( | 14 5 | − | 3583 1000 | x | ) | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 |
| = | 4158 25 | − | 1064151 5000 | x | − | 12627 250 | x | × | 14 5 | + | 12627 250 | x | × | 3583 1000 | x | − | 743 125 | x |
| = | 4158 25 | − | 1064151 5000 | x | − | 88389 625 | x | + | 45242541 250000 | x | x | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) |
| = | 4158 25 | − | 1771263 5000 | x | + | 45242541 250000 | x | x | − | 743 125 | x | ( | 33 5 | − | 1403 250 | x | ) | ( | 14 5 | − | 3583 1000 | x | ) | − | ( | 9 | − | 743 125 | x | ) | × | 196 25 |
| = | 4158 25 | − | 1771263 5000 | x | + | 45242541 250000 | x | x | − | 743 125 | x | × | 33 5 | ( | 14 5 | − | 3583 1000 | x | ) | + | 743 125 | x |
| = | 4158 25 | − | 1771263 5000 | x | + | 45242541 250000 | x | x | − | 24519 625 | x | ( | 14 5 | − | 3583 1000 | x | ) | + | 1042429 31250 | x | x |
| = | 4158 25 | − | 1771263 5000 | x | + | 45242541 250000 | x | x | − | 24519 625 | x | × | 14 5 | + | 24519 625 | x | × | 3583 1000 |
| = | 4158 25 | − | 1771263 5000 | x | + | 45242541 250000 | x | x | − | 343266 3125 | x | + | 87851577 625000 | x | x | + | 1042429 31250 |
| = | 4158 25 | − | 11602443 25000 | x | + | 45242541 250000 | x | x | + | 87851577 625000 | x | x | + | 1042429 31250 | x | x |
| = | 4158 25 | − | 11602443 25000 | x | + | 45242541 250000 | x | x | + | 87851577 625000 | x | x | + | 1042429 31250 | x | x |
| = | 4158 25 | − | 11602443 25000 | x | + | 45242541 250000 | x | x | + | 87851577 625000 | x | x | + | 7297003 78125 | x | x |
| = | 4158 25 | − | 11602443 25000 | x | + | 45242541 250000 | x | x | + | 87851577 625000 | x | x | + | 7297003 78125 | x | x |
| = | 4158 25 | − | 11602443 25000 | x | + | 45242541 250000 | x | x | + | 87851577 625000 | x | x | + | 7297003 78125 | x | x |
The solution of the equation:
x1≈0.189970 , keep 6 decimal places
x2≈1.135301 , keep 6 decimal places
x3≈2.146381 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》