Quadratic Equations

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=3x2−4x+2 D=b2−4(a)(c)=(−4)2−4(3)(2)=−8 *****2 imaginary solutions***  

The Answer

−b±b2−4(a)(c)‾‾‾‾‾‾‾‾‾‾‾√2(a)4±(−4)2−4(3)(2)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(3)4±−8‾‾‾√6=4±−4×2‾‾‾‾‾‾‾√6=4±2i2‾‾√6=2±1i2‾‾√3