1. Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 – j amps and the impedance Z is 3 + 2j ohms.
Problem of the Day

2. Section 4-5 Square Root Property

3. Then Now Objectives You factored trinomials.
Solve quadratic equations using the Square Root Property.

4. Common Core State Standards
Content Standards
N.CN.7 – Solve quadratic equations with real coefficients that have complex solutions.
Mathematical Practices
7) Look for and make use of structure.
Common Core State Standards

5. Factor and solve: 𝑥 2 +16𝑥+64=0
Practice!

6. Perfect Square Trinomial
𝑥 2 +16𝑥+64 is an example of a perfect square trinomial! The first and last terms are perfect squares. The middle term is twice the product of the square roots of the first and last term.
Perfect Square Trinomial

7. Factor and solve: 𝑥 2 −6𝑥+9=0
Try another one!

8. Example 1 Rational Roots
Solve using the Square Root Property: 𝑥 2 −12𝑥+36=25
Example 1 Rational Roots

9. Example 1 Rational Roots
Solve using the Square Root Property: 𝑥 2 +14𝑥+49=64
Example 1 Rational Roots

10. Example 1 Rational Roots
Solve using the Square Root Property: 𝑥 2 −16𝑥+64=81
Example 1 Rational Roots

11. Example 2 Irrational Roots
Solve using the Square Root Property: 𝑥 2 +8𝑥+16=20
Example 2 Irrational Roots

12. Example 2 Irrational Roots
Solve using the Square Root Property: 𝑥 2 −6𝑥+9=32
Example 2 Irrational Roots

13. Example 2 Irrational Roots
Solve using the Square Root Property: 𝑥 2 −4𝑥+4=13
Example 2 Irrational Roots

14. Example Imaginary Solutions
Solve using the Square Root Property: 𝑥 2 +20𝑥+100=−121
Example Imaginary Solutions

15. Example Imaginary Solutions
Solve using the Square Root Property: 𝑥 2 −14𝑥+49=−84
Example Imaginary Solutions

16. Example Imaginary Solutions
Solve using the Square Root Property: 𝑥 2 +12𝑥+36=−6
Example Imaginary Solutions

17. p.260 #2, 3, 14 – 19, 22, 71
Homework