Solve by factoring... GSE Algebra I Today’s Question: When does a quadratic have an imaginary...
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Transcript of Solve by factoring... GSE Algebra I Today’s Question: When does a quadratic have an imaginary...
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
GSE Algebra I
Today’s Question:When does a quadratic have an imaginary solution?Standard: MCC9-12..A.REI.4b
Solving Quadratic
Equations by Taking Square
Roots
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
Solve by Taking Square Roots
21. 4 0x
2x
Solve by Taking Square Roots
212. 3 122x
3 2x
Solve by Taking Square Roots
2 23. 2 5 1x x
3x
Solve by Taking Square Roots
214. 4 1 53 x
4 3 2x
Solve by Taking Square Roots
25. 4 5 64x
5 4x
Solve by Taking Square Roots
26. 2x 338 0
13x
Solve by Taking Square Roots
27. 5 4 125x
1 and 9x
Solve by Taking Square Roots
218. 3 47x
7x
Solve by Taking Square Roots
239. 2 55x
5x
Solve by Taking Square Roots
210. 9 243x
3 3x
Falling Objects!Use h = -16t2 + h0
Height of the
object AFTER it
has fallen
TIME after the object
has dropped
Object’s
INITIAL height
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
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
ApplicationThe formula for the volume of a cylinder is V = .
Solve the formula for r.
2r h
Textbookp. 536 #2, 20,
22p. 537 #41 – 45
HomeworkPractic
e Sheet