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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: 2 questions will be solved this time.Among them
☆2 equations
[ 1/2 Equation]
Work: Find the solution of equation a+(a-100)*((175-1)*0.005) = 755.3 .
Question type: Equation
Solution:Original question:
| a | + | ( | a | − | 100 | ) | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) | = | 7553 10 |
| Left side of the equation = | a | + | a | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) | − | 100 | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | ( | 175 | − | 1 | ) | × | 1 200 | − | 100 | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 175 | × | 1 200 | − | a | × | 1 | × | 1 200 | − | 100 | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 7 8 | − | a | × | 1 200 | − | 100 | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) |
| = | 187 100 | a | − | 100 | ( | ( | 175 | − | 1 | ) | × | 1 200 | ) |
| = | 187 100 | a | − | 100 | ( | 175 | − | 1 | ) | × | 1 200 |
| = | 187 100 | a | − | 1 2 | ( | 175 | − | 1 | ) |
| = | 187 100 | a | − | 1 2 | × | 175 | + | 1 2 | × | 1 |
| = | 187 100 | a | − | 175 2 | + | 1 2 |
| = | 187 100 | a | − | 87 |
187 100 | a | − | 87 | = | 7553 10 |
Transposition :
187 100 | a | = | 7553 10 | + | 87 |
Combine the items on the right of the equation:
187 100 | a | = | 8423 10 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 8423 10 | ÷ | 187 100 |
| = | 8423 10 | × | 100 187 |
| = | 8423 | × | 10 187 |
We obtained :
| a | = | 84230 187 |
Convert the result to decimal form :
| a | = | 450.427807 |
[ 2/2 Equation]
Work: Find the solution of equation a+(a-100)*((165-1)*0.005) = 755.3 .
Question type: Equation
Solution:Original question:
| a | + | ( | a | − | 100 | ) | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) | = | 7553 10 |
| Left side of the equation = | a | + | a | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) | − | 100 | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | ( | 165 | − | 1 | ) | × | 1 200 | − | 100 | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 165 | × | 1 200 | − | a | × | 1 | × | 1 200 | − | 100 | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 33 40 | − | a | × | 1 200 | − | 100 | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) |
| = | 91 50 | a | − | 100 | ( | ( | 165 | − | 1 | ) | × | 1 200 | ) |
| = | 91 50 | a | − | 100 | ( | 165 | − | 1 | ) | × | 1 200 |
| = | 91 50 | a | − | 1 2 | ( | 165 | − | 1 | ) |
| = | 91 50 | a | − | 1 2 | × | 165 | + | 1 2 | × | 1 |
| = | 91 50 | a | − | 165 2 | + | 1 2 |
| = | 91 50 | a | − | 82 |
91 50 | a | − | 82 | = | 7553 10 |
Transposition :
91 50 | a | = | 7553 10 | + | 82 |
Combine the items on the right of the equation:
91 50 | a | = | 8373 10 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 8373 10 | ÷ | 91 50 |
| = | 8373 10 | × | 50 91 |
| = | 8373 | × | 5 91 |
We obtained :
| a | = | 41865 91 |
Convert the result to decimal form :
| a | = | 460.054945 |