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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 （（（0.9+1）0.9+1）0.9+x）1.05 = 3+x .
Question type: Equation
Solution:Original question:
| ( | ( | ( | 9 10 | + | 1 | ) | × | 9 10 | + | 1 | ) | × | 9 10 | + | x | ) | × | 21 20 | = | 3 | + | x |
| Left side of the equation = | ( | ( | 9 10 | + | 1 | ) | × | 9 10 | + | 1 | ) | × | 9 10 | × | 21 20 | + | x | × | 21 20 |
| = | ( | ( | 9 10 | + | 1 | ) | × | 9 10 | + | 1 | ) | × | 189 200 | + | x | × | 21 20 |
| = | ( | 9 10 | + | 1 | ) | × | 9 10 | × | 189 200 | + | 1 | × | 189 200 | + | 21 20 | x |
| = | ( | 9 10 | + | 1 | ) | × | 1701 2000 | + | 189 200 | + | 21 20 | x |
| = | 9 10 | × | 1701 2000 | + | 1 | × | 1701 2000 | + | 189 200 | + | 21 20 | x |
| = | 15309 20000 | + | 1701 2000 | + | 189 200 | + | 21 20 | x |
| = | 51219 20000 | + | 21 20 | x |
51219 20000 | + | 21 20 | x | = | 3 | + | x |
Transposition :
21 20 | x | − | x | = | 3 | − | 51219 20000 |
Combine the items on the left of the equation:
1 20 | x | = | 3 | − | 51219 20000 |
Combine the items on the right of the equation:
1 20 | x | = | 8781 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8781 20000 | ÷ | 1 20 |
| = | 8781 20000 | × | 20 |
| = | 8781 1000 | × | 1 |
We obtained :
| x | = | 8781 1000 |
Convert the result to decimal form :
| x | = | 8.781 |