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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
☆1 equations
☆1 convert the decimals to fractions
[ 1/2 Equation]
Work: Find the solution of equation a+(a-100)*((205-1)*0.005) = 0 .
Question type: Equation
Solution:Original question:
| a | + | ( | a | − | 100 | ) | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) | = | 0 |
| Left side of the equation = | a | + | a | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | ( | 205 | − | 1 | ) | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 205 | × | 1 200 | − | a | × | 1 | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | a | + | a | × | 41 40 | − | a | × | 1 200 | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | 101 50 | a | − | 100 | ( | ( | 205 | − | 1 | ) | × | 1 200 | ) |
| = | 101 50 | a | − | 100 | ( | 205 | − | 1 | ) | × | 1 200 |
| = | 101 50 | a | − | 1 2 | ( | 205 | − | 1 | ) |
| = | 101 50 | a | − | 1 2 | × | 205 | + | 1 2 | × | 1 |
| = | 101 50 | a | − | 205 2 | + | 1 2 |
| = | 101 50 | a | − | 102 |
101 50 | a | − | 102 | = | 0 |
Transposition :
101 50 | a | = | 0 | + | 102 |
Combine the items on the right of the equation:
101 50 | a | = | 102 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 102 | ÷ | 101 50 |
| = | 102 | × | 50 101 |
We obtained :
| a | = | 5100 101 |
Convert the result to decimal form :
| a | = | 50.49505 |
[ 2/2 Digital analysis ]
Work: Convert decimal 755.3 to fractional form.
Question type: Convert decimal to fraction
Solution:
| 755.3= | 7553 10 |
*Note: Convert finite decimal to fraction.