Quadratic Formula

Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  a = ____ b = ____ c = ____  we learned to solve this by:  factoring  now we’ll learn the Quadratic Formula 168

x 2 + 6x + 8 = 0  factor  x 2 + 6x + 8 = 0  (x + 4 ) (x + 2 ) = 0  x = -4 or x = -2

Quadratic Formula This formula finds the solution(s) for x in any quadratic equation. let’s try it for x 2 + 6x + 8 = 0

 x 2 + 6x + 8 = 0  a = ____ b = ____ c = ____ 168 substitute these numbers into the formula = -2 = -4

x 2 –3x – 10 = 0 = 5= -2 a=___ b=___ c=___1-3-10

3x 2 – x = 2  write in standard form 3x 2 – x – 2 = 0 a = ___ b = ____ c = ____3 -2 = 1= - 2/3

x 2 = x – 8  Write in standard form x 2 – x + 8 = 0a=___ b=__ c=___1 8 there is no square root of a negative number No Solution

8x 2 = 3  write in standard form there is no “x” term 8x 2 –3 = 0 rewrite as : 8x x – 3 = 0 a = ___ b = ___ c = ___80-3 4

4x x + 9 = 0  a = ____ b = ____ c = ____ 4129 only one solution

Can you recite the quadratic formula? 2a

A story to help you remember… and the party was There once was anegative boy who couldn’t decide if he wanted to go to theradicalparty so he decided to be squareandonmissed out4 awesome chicks 2 amoverat