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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 100*(1+0.036*167/360) = 91.5*(1+x*167/360) .
Question type: Equation
Solution:Original question:
| 100 | ( | 1 | + | 9 250 | × | 167 | ÷ | 360 | ) | = | 183 2 | ( | 1 | + | x | × | 167 | ÷ | 360 | ) |
| Left side of the equation = | 100 | × | 1 | + | 100 | × | 9 250 | × | 167 | ÷ | 360 |
| = | 100 | + | 167 100 |
| = | 10167 100 |
10167 100 | = | 183 2 | ( | 1 | + | x | × | 167 | ÷ | 360 | ) |
| Right side of the equation = | 183 2 | × | 1 | + | 183 2 | x | × | 167 | ÷ | 360 |
| = | 183 2 | + | 10187 240 | x |
10167 100 | = | 183 2 | + | 10187 240 | x |
Transposition :
| - | 10187 240 | x | = | 183 2 | − | 10167 100 |
Combine the items on the right of the equation:
| - | 10187 240 | x | = | - | 1017 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1017 100 | = | 10187 240 | 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 :
10187 240 | x | = | 1017 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1017 100 | ÷ | 10187 240 |
| = | 1017 100 | × | 240 10187 |
| = | 1017 5 | × | 12 10187 |
We obtained :
| x | = | 12204 50935 |
Convert the result to decimal form :
| x | = | 0.239599 |