solve by factoring... gse algebra i today’s question: when does a quadratic have an imaginary...
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GSE Algebra I Today’s Question: When does a quadratic have an imaginary solution? Standard: MCC9-12..A.REI.4bTRANSCRIPT
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Solve by factoring..
2
2
2
1. 5 18 8
2. 2 7 5 0
3. 4 25 0
x x
x x
x
24 & 5x x
51 & 2x x
5 5 & 2 2x x
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GSE Algebra I
Today’s Question:When does a quadratic have an imaginary solution?Standard: MCC9-12..A.REI.4b
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Solving Quadratic
Equations by Taking Square
Roots
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Solving with Square Roots
1. Get x2 or binomial squared by itself
2. Take the square root of BOTH sides of the equals sign
3. Don’t forget the sign4. Simplify
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Solve by Taking Square Roots
21. 4 0x
2x
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Solve by Taking Square Roots
212. 3 122x
3 2x
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Solve by Taking Square Roots
2 23. 2 5 1x x
3x
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Solve by Taking Square Roots
214. 4 1 53 x
4 3 2x
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Solve by Taking Square Roots
25. 4 5 64x
5 4x
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Solve by Taking Square Roots
26. 2x 338 0
13x
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Solve by Taking Square Roots
27. 5 4 125x
1 and 9x
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Solve by Taking Square Roots
218. 3 47x
7x
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Solve by Taking Square Roots
239. 2 55x
5x
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Solve by Taking Square Roots
210. 9 243x
3 3x
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Falling Objects!Use h = -16t2 + h0
Height of the
object AFTER it
has fallen
TIME after the object
has dropped
Object’s
INITIAL height
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ExampleThe tallest building in the USA is in Chicago, Illinois. It is 1450 ft. tall. How long would it take a penny to drop from the top of the building to the ground?
1450160 2 t0
216 hth
2161450 t2625.90 t2625.90 t
seconds 52.9t
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For a period of 48 months, the average monthly operating costs for a small business C (in dollars) is approximated by the model C = 0.55t2 + 550 where t is the number of months. During which month was the average operating cost $1430?
2880 0.55t21430 0.55 550t
21600 t21600 t
40t months
Example
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ApplicationThe formula for the volume of a cylinder is V = .
Solve the formula for r.
2r h
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Textbookp. 536 #2, 20,
22p. 537 #41 – 45
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HomeworkPractic
e Sheet