1. Solving Square Roots
Unit 3 Day 3

2. Warm Up
Sometimes quadratic equations contain hidden information that is revealed when the equations are written in factored form. Change each quadratic equation below to an equivalent equation in factored form.

3. 𝑦=−16 𝑡 2 −48𝑡
𝑦=5 𝑥 2 −10𝑥
𝑦=3 𝑥−1 +𝑥(𝑥−1)

4. 𝑦=52 𝑥 2 −13
𝑦= 𝑥 2 +5𝑥+4
𝑦=𝑥 2𝑥+5 +𝑥(𝑥−10)

5. Interactive Notebook – Example 1
Isolate the radical
Raise each side to the power of the index
Solve for x
Check for extraneous solutions

6. −8+ 5𝑥−5 =−3

7. 𝑥 =29

8. 90−𝑥 =𝑥

9. Interactive Notebook – Example 2
Isolate one radical
Raise each side to the power of the index
Isolate the remaining radical (if needed)
Solve for x
Check for extraneous solutions

10. 3 4𝑥−9 = 3 2𝑥−4

11. 4 3𝑥+3 = 4 2𝑥−7

12. 𝑥 +1= 𝑥+5

13. Interactive Notebook – Example 3
Isolate the radical
Raise each side to the reciprocal power (If the numerator of the original exponent is even, the answer gets a ±)
Solve for x
Check for extraneous solutions

14. 𝑥− =64

15. 2𝑥 −3=13