solve by factoring!. solving quadratic equations by taking square roots
TRANSCRIPT
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Solve by factoring!
2
2
2
1. 8 12 0
2. 2 3 9 0
3. 3 10 8
x x
x x
x x
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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 i
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Solve by Taking Square Roots
212. 3 12
2x
3 2x
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Solve by Taking Square Roots
23. 2x 338 0
13x i
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Solve by Taking Square Roots
214. 3 4
7x
7x
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Solve by Taking Square Roots
25. 9 243x
3 3x i
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Solve by Taking Square Roots
236. 2 5
5x
5x
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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
21
8. 4 1 53x
4 3 2x
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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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Homework
Practice
Sheet