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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 152.12 = 49.11+36.17+49.75x+1/2(66.95-49.75)/2.7*x2 .
Question type: Equation
Solution:Original question:
3803 25 | = | 4911 100 | + | 3617 100 | + | 199 4 | x | + | 1 | ÷ | 2 | × | ( | 1339 20 | − | 199 4 | ) | ÷ | 27 10 | × | x | × | 2 |
| Right side of the equation = | 4911 100 | + | 3617 100 | + | 199 4 | x | + | 10 27 | ( | 1339 20 | − | 199 4 | ) | x |
| = | 2132 25 | + | 199 4 | x | + | 10 27 | ( | 1339 20 | − | 199 4 | ) | x |
3803 25 | = | 2132 25 | + | 199 4 | x | + | 10 27 | ( | 1339 20 | − | 199 4 | ) | x |
| Right side of the equation = | 2132 25 | + | 199 4 | x | + | 10 27 | × | 1339 20 | x | − | 10 27 | × | 199 4 | x |
| = | 2132 25 | + | 199 4 | x | + | 1339 54 | x | − | 995 54 | x |
| = | 2132 25 | + | 6061 108 | x |
3803 25 | = | 2132 25 | + | 6061 108 | x |
Transposition :
| - | 6061 108 | x | = | 2132 25 | − | 3803 25 |
Combine the items on the right of the equation:
| - | 6061 108 | x | = | - | 1671 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1671 25 | = | 6061 108 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
6061 108 | x | = | 1671 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1671 25 | ÷ | 6061 108 |
| = | 1671 25 | × | 108 6061 |
We obtained :
| x | = | 180468 151525 |
Convert the result to decimal form :
| x | = | 1.191011 |