Download Solving Quadratic Equations Using Square Roots

CCGPS Geometry
Unit 5C – Solving Quadratics
Day 51 – Notes
Name: ________________________________________________ Date: _______________________
Solving Quadratic Equations Using Square Roots
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Today’s Question: When does a quadratic have an imaginary solution? MCC9-12.A.REI.4b
Solving Quadratic Equations Using Square Roots
1.
2.
3.
4.
Get x 2 by itself.
Take the square root of both sides of the equation.
There will ALWAYS be a positive answer and a negative answer.
Check your answers!!!
Solve each equation.
1. x 2  4  0


3. 2 x2  5   x2  1
2.
1 2
x  3  12
2
4.
2
1
x  4  1 5

3
5. 4  x  5  64
6. 2 x 2  338  0
7. 5  x  4   125
1 2
x 3  4
7
3
9.  x2  2  5
5
10. 9x 2  243
2
8.
2
CCGPS Geometry
Unit 5C – Solving Quadratics
Day 51 – Notes
Falling Objects
h  16t 2  h0
11. The 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?
12. 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?