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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
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Work: Find the solution of equation 450Y-(70+240Y)-171-50-69.02-10-4.47*0.05-(450Y*0.13-15Y-30.4)*0.12 = 0 .
Question type: Equation
Solution:Original question:
| 450 | Y | − | ( | 70 | + | 240 | Y | ) | − | 171 | − | 50 | − | 3451 50 | − | 10 | − | 447 100 | × | 1 20 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 | = | 0 |
| Left side of the equation = | 450 | Y | − | ( | 70 | + | 240 | Y | ) | − | 171 | − | 50 | − | 3451 50 | − | 10 | − | 447 2000 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 |
| = | 450 | Y | − | ( | 70 | + | 240 | Y | ) | − | 600487 2000 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 |
| 450 | Y | − | ( | 70 | + | 240 | Y | ) | − | 600487 2000 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 | = | 0 |
| Left side of the equation = | 450 | Y | − | 70 | − | 240 | Y | − | 600487 2000 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 |
| = | 210 | Y | − | 740487 2000 | − | ( | 450 | Y | × | 13 100 | − | 15 | Y | − | 152 5 | ) | × | 3 25 |
| = | 210 | Y | − | 740487 2000 | − | 450 | Y | × | 13 100 | × | 3 25 | + | 15 | Y | × | 3 25 | + | 152 5 | × | 3 25 |
| = | 210 | Y | − | 740487 2000 | − | 351 50 | Y | + | 9 5 | Y | + | 456 125 |
| = | 10239 50 | Y | − | 733191 2000 |
10239 50 | Y | − | 733191 2000 | = | 0 |
Transposition :
10239 50 | Y | = | 0 | + | 733191 2000 |
Combine the items on the right of the equation:
10239 50 | Y | = | 733191 2000 |
The coefficient of the unknown number is reduced to 1 :
| Y | = | 733191 2000 | ÷ | 10239 50 |
| = | 733191 2000 | × | 50 10239 |
| = | 244397 40 | × | 1 3413 |
We obtained :
| Y | = | 244397 136520 |
Convert the result to decimal form :
| Y | = | 1.790192 |