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Learn how to simplify radicals, operate with complex numbers, solve quadratic equations, and more with this comprehensive guide. Use your calculator to master the concepts effectively. Work together in groups for better understanding and organize your notes for better retention.
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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