Trigonometry Blog- Calixto: November 2012

Aim:
How do we solve quadratic equations?

The first way is by using the quadratic formula which is:

The standard form of the Quadratic Formula is

EXAMPLE:

3x^2-4x+2

a=3
b=-4
c=2
*Now you plug in these numbers into the Quadratic formula

The Discriminant

y = 3 x 2 - 4 x + 2 D = b 2 - 4 (a) (c) = (- 4) 2 - 4 (3) (2) = - 8 *****2 imaginary solutions***

The Answer

- b \pm b 2 - 4 ( a ) ( c ) ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ \sqrt 2 ( a ) 4 \pm ( - 4 ) 2 - 4 ( 3 ) ( 2 ) ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ ‾ \sqrt 2 ( 3 ) 4 \pm - 8 ‾ ‾ ‾ \sqrt 6 = 4 \pm - 4 \times 2 ‾ ‾ ‾ ‾ ‾ ‾ ‾ \sqrt 6 = 4 \pm 2 i 2 ‾ ‾ \sqrt 6 = 2 \pm 1 i 2 ‾ ‾ \sqrt 3

Trigonometry Blog- Calixto