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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 [(1.55*15*0.85-20.58)*x+(1.55*15*0.85*0.6-20.58)*(1-x)] = 0 .
Question type: Equation
Solution:Original question:
| ( | ( | 31 20 | × | 15 | × | 17 20 | − | 1029 50 | ) | x | + | ( | 31 20 | × | 15 | × | 17 20 | × | 3 5 | − | 1029 50 | ) | ( | 1 | − | x | ) | ) | = | 0 |
| Left side of the equation = | ( | 31 20 | × | 15 | × | 17 20 | − | 1029 50 | ) | x | + | ( | 31 20 | × | 15 | × | 17 20 | × | 3 5 | − | 1029 50 | ) | ( | 1 | − | x | ) |
| = | 31 20 | × | 15 | × | 17 20 | x | − | 1029 50 | x | + | ( | 31 20 | × | 15 | × | 17 20 | × | 3 5 | − | 1029 50 | ) | ( | 1 | − | x | ) |
| = | 1581 80 | x | − | 1029 50 | x | + | ( | 31 20 | × | 15 | × | 17 20 | × | 3 5 | − | 1029 50 | ) | ( | 1 | − | x | ) |
| = | - | 327 400 | x | + | ( | 31 20 | × | 15 | × | 17 20 | × | 3 5 | − | 1029 50 | ) | ( | 1 | − | x | ) |
| = | - | 327 400 | x | + | 31 20 | × | 15 | × | 17 20 | × | 3 5 | ( | 1 | − | x | ) | − | 1029 50 | ( | 1 | − | x | ) |
| = | - | 327 400 | x | + | 4743 400 | ( | 1 | − | x | ) | − | 1029 50 | ( | 1 | − | x | ) |
| = | - | 327 400 | x | + | 4743 400 | × | 1 | − | 4743 400 | x | − | 1029 50 | ( | 1 | − | x | ) |
| = | - | 327 400 | x | + | 4743 400 | − | 4743 400 | x | − | 1029 50 | ( | 1 | − | x | ) |
| = | - | 507 40 | x | + | 4743 400 | − | 1029 50 | ( | 1 | − | x | ) |
| = | - | 507 40 | x | + | 4743 400 | − | 1029 50 | × | 1 | + | 1029 50 | x |
| = | - | 507 40 | x | + | 4743 400 | − | 1029 50 | + | 1029 50 | x |
| = | 1581 200 | x | − | 3489 400 |
1581 200 | x | − | 3489 400 | = | 0 |
Transposition :
1581 200 | x | = | 0 | + | 3489 400 |
Combine the items on the right of the equation:
1581 200 | x | = | 3489 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3489 400 | ÷ | 1581 200 |
| = | 3489 400 | × | 200 1581 |
| = | 1163 2 | × | 1 527 |
We obtained :
| x | = | 1163 1054 |
Convert the result to decimal form :
| x | = | 1.103416 |