1. Warm Up: SIMPLIFY

2. 6-5 Solving Radical Equations
Today’s Objective:
I can solve a radical equation

3. Solving Radical Equations
Isolate the radical
Raise equation to the power of the index.
Solve and check your answer
3+ 2𝑥−3 =8
3 4𝑥+1 −5=0
2𝑥−3 =5
3 4𝑥+1 =5
2𝑥−3 2 = 5 2
3 4𝑥 = 5 3
2𝑥−3=25
4𝑥+1=125
𝑥=14
𝑥=31
3+ 2(14)−3 = ?
−5= ? 8

4. 6-5 p. 395: 9-33 odd × 𝑥+7 =𝑥+5 3 5 (𝑥+1) 3 +1=25 ( 𝑥+7 ) 2 = (𝑥+5) 2
3 5 (𝑥+1) 3 +1=25
( 𝑥+7 ) 2 = (𝑥+5) 2
3 (𝑥+1) =25
𝑥+7= 𝑥 2 +10𝑥+25
(𝑥+1) =8
6-5 p. 395: 9-33 odd
0= 𝑥 2 +9𝑥+18
(𝑥+1) =
0=(𝑥+3)(𝑥+6) ×
𝑥=−3 or −6
𝑥+1=32
−6+7 =−6+5
1 =−1
1=−1
−3+7 =−3+5
4 =2
2=2
𝑥=31
3 5 (31+1) 3 +1= ? 25