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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 (（0.95+1.55)*0.95+y)1.03 = 1+y+1.55 .
Question type: Equation
Solution:Original question:
| ( | ( | 19 20 | + | 31 20 | ) | × | 19 20 | + | y | ) | × | 103 100 | = | 1 | + | y | + | 31 20 |
| Left side of the equation = | ( | 19 20 | + | 31 20 | ) | × | 19 20 | × | 103 100 | + | y | × | 103 100 |
| = | ( | 19 20 | + | 31 20 | ) | × | 1957 2000 | + | y | × | 103 100 |
| = | 19 20 | × | 1957 2000 | + | 31 20 | × | 1957 2000 | + | 103 100 | y |
| = | 37183 40000 | + | 60667 40000 | + | 103 100 | y |
| = | 1957 800 | + | 103 100 | y |
1957 800 | + | 103 100 | y | = | 1 | + | y | + | 31 20 |
| Right side of the equation = | 51 20 | + | y |
1957 800 | + | 103 100 | y | = | 51 20 | + | y |
Transposition :
103 100 | y | − | y | = | 51 20 | − | 1957 800 |
Combine the items on the left of the equation:
3 100 | y | = | 51 20 | − | 1957 800 |
Combine the items on the right of the equation:
3 100 | y | = | 83 800 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 83 800 | ÷ | 3 100 |
| = | 83 800 | × | 100 3 |
| = | 83 8 | × | 1 3 |
We obtained :
| y | = | 83 24 |
Convert the result to decimal form :
| y | = | 3.458333 |