do you remember… how do you simplify radicals? what happens when there is a negative under the...

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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 subtract complex numbers? How do you multiply complex numbers? How do you solve for x if you have x 2 on one side of the equal sign? What is a conjugate? How do you divide complex numbers?

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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

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

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

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

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

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

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

Page 7: 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

Ticket Out

• Use your calculator to find the solution(s) to