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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?