Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
Mathematical calculation：
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 50r2-30.38r3-57r+900 = 0 .
Question type: Equation
Solution:Original question:
| 50 | r | × | 2 | − | 1519 50 | r | × | 3 | − | 57 | r | + | 900 | = | 0 |
| Left side of the equation = | 100 | r | − | 4557 50 | r | − | 57 | r | + | 900 |
| = | - | 2407 50 | r | + | 900 |
| - | 2407 50 | r | + | 900 | = | 0 |
Transposition :
| - | 2407 50 | r | = | 0 | − | 900 |
Combine the items on the right of the equation:
| - | 2407 50 | r | = | - | 900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 900 | = | 2407 50 | r |
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 :
2407 50 | r | = | 900 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 900 | ÷ | 2407 50 |
| = | 900 | × | 50 2407 |
We obtained :
| r | = | 45000 2407 |
Convert the result to decimal form :
| r | = | 18.695472 |