More about Quadratic Equations November 16, 2009.

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Presentation transcript:

More about Quadratic Equations November 16, 2009

Objectives Understand basic concepts about quadratic equations. Use factoring, complete the square, and the quadratic formula to solve quadratic equations. Understand the discriminant. Solve problems involving the quadratic equations.

What is a quadratic equation? It is: ax 2 +bx+c=0 If you solve for x, what are you finding on the graph? Where y=0, aka the x- intercepts

Completing the square x 2 +4x-1=0

The quadratic formula x= -b ± √b 2 -4ac 2a 3x 2 +10x-1=0

The discriminant The discriminant is: b 2 -4ac If b 2 -4ac >0, there are two real solutions. If b 2 -4ac = 0, there is one real solution. If b 2 -4ac <0, there are NO real solutions.