more about quadratic equations november 16, 2009
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:
ax2+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
• x2+4x-1=0
The quadratic formula
x= -b ± √b2-4ac
2a
3x2+10x-1=0
The discriminant
• The discriminant is:
b2-4ac• If b2-4ac >0, there are two real
solutions.• If b2-4ac = 0, there is one real solution.• If b2-4ac <0, there are NO real solutions.