1.Quadratic Equation
- invented by Muhammad ibn Musa Al Khwarizmi islamic scientist
- followed by all around the world scientist
- first usage at 2000 BC
- from latin means 'square'
- general equation ax^2 +bx + c= 0
- three basic to get x value or roots value
- Factoring
- put all items at one side and equal sign of 0 at one side
- Factor
- Set each factor equal to 0
- Solve the equation
- Check the value of x
- Quadratic formula
- x=-b+/-Гb^2-4ac/2ab
- Completing the square
- put the equation
- a=1,if not multiply 1/a to all the terms
- Add (b/2)^2 to both side
- Find the square root both side
- solve the equation
- three type of form of equation
- standard form
- factored form
- vertex form
- Quadratic equation also call degree 2 equation
- can draw a parabolic or curve line and the apex point call vertex
- if a + or -,the curve line will be open and close
- if b value are adjust,the parabolic curve line will move from + to - and vise versa to x axis
- if c value are adjust,the parabolic curve line will move from = to - and vise versa to y axis
Why important?
- easy to find shape like circle,ellipses,parabola and etc
- find the curve for flying object like tennis ball,softball and etc
- to identify an object have a curve or the project like twisted buiding or curve shape
- to know the target of the fire bomb from the cannon
- to explain the planets revolving around the sun
- newton motion law based on this formula
- car design
- household product design
- economy predictable
- nursing usage and etc
No comments:
Post a Comment