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Do you remember… How do you simplify radicals? What happens when there is a negative under the...
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Transcript of Do you remember… How do you simplify radicals? What happens when there is a negative under the...
![Page 1: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/1.jpg)
Do you remember…
• How do you simplify radicals?• What happens when there is a negative under the square root?• What is i?• What is i2?• How do you add or subtract complex numbers?• How do you multiply complex numbers?• How do you solve for x if you have x2 on one side of the equal sign?• What is a conjugate?• How do you divide complex numbers?
![Page 2: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/2.jpg)
Solve for x
• x2=16• x2=-9• x2=-24• 2x2=30• x2+5=-20• 3x2+1=4• 2x2+3x+7=0
![Page 3: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/3.jpg)
Quadratic Functions
Standard Form: ax2+bx+c=0
Determine a, b, and c
• 2x2+3x+7=0• x2-4x+3=0• -3x2-2x-1=0• x2+4=0• 5x2-10x=-24• 7m2-3m+2=7
a=2 b=3 c=7
a=1 b=-4 c=3
a=-3 b=-2 c=-1
a=1 b=0 c=4
5x2-10x+24=0a=5 b=-10 c=24
7m2-3x-5=0 a=7 b=-3 c=-5
![Page 4: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/4.jpg)
Solutions/zeroes/x-intercepts• The solution (or zero) of a quadratic function is where
the graph crosses the x-axis (where y=0)
![Page 5: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/5.jpg)
Calculator Notes
![Page 6: Do you remember… How do you simplify radicals? What happens when there is a negative under the square root? What is i? What is i 2 ? How do you add or.](https://reader036.fdocuments.net/reader036/viewer/2022082817/56649de85503460f94ae18de/html5/thumbnails/6.jpg)
Quadratic Sorting• Use what we’ve learned• Work together (2-3 people per group)• Sort the quadratics into Categories• Put everything on a page in your binder• Categories, problems, reasoning
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Ticket Out
• Use your calculator to find the solution(s) to