More about Quadratic Equations November 16, 2009.
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More about Quadratic Equations November 16, 2009
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Transcript of More about Quadratic Equations November 16, 2009.
![Page 1: More about Quadratic Equations November 16, 2009.](https://reader034.fdocuments.net/reader034/viewer/2022051316/5697bf991a28abf838c91620/html5/thumbnails/1.jpg)
More about Quadratic Equations
November 16, 2009
![Page 2: More about Quadratic Equations November 16, 2009.](https://reader034.fdocuments.net/reader034/viewer/2022051316/5697bf991a28abf838c91620/html5/thumbnails/2.jpg)
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.
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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
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Completing the square
• x2+4x-1=0
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The quadratic formula
x= -b ± √b2-4ac
2a
3x2+10x-1=0
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![Page 7: More about Quadratic Equations November 16, 2009.](https://reader034.fdocuments.net/reader034/viewer/2022051316/5697bf991a28abf838c91620/html5/thumbnails/7.jpg)
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.
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