THE BHASKARA FORMULA: APPLICATION EXERCISE

The Bhaskara formula, also known as the quadratic formula, is a mathematical tool used to solve quadratic equations of the form:

ax² + bx + c = 0

where:

1. a, b and c are constants
2. x is the variable
Bhaskara formula
x = (-b ± √(b² - 4ac)) / 2a
Parts of the formula
1. *Discriminant*: b² - 4ac
2. *Square root*: √(b² - 4ac)
3. *Solutions*: x1 and x2
Types of solutions
1. *Real and distinct solutions*: discriminant > 0
2. *Real and equal solutions*: discriminant = 0
3. *Complex solutions*: discriminant < 0
Applications
1. Physics
2. Engineering
3. Economy
4. Social sciences
5. Mathematical modeling
History
The Bhaskara formula was discovered by the Indian mathematician Bhaskara II in the 12th century.