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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?
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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 x2on one side of the equal sign? • What is a conjugate? • How do you divide complex numbers? Do you remember…
x2=16 • x2=-9 • x2=-24 • 2x2=30 • x2+5=-20 • 3x2+1=4 • 2x2+3x+7=0 Solve for x
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=0 a=5 b=-10 c=24 Quadratic Functions 7m2-3x-5=0 a=7 b=-3 c=-5
The solution (or zero) of a quadratic function is where the graph crosses the x-axis (where y=0) Solutions/zeroes/x-intercepts
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 Quadratic Sorting