Warm Up: SIMPLIFY

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

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+1 3 = 5 3 2𝑥−3=25 4𝑥+1=125 𝑥=14 𝑥=31 3+ 2(14)−3 = ? 3 4 31 +1 −5= ? 8

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) 3 5 +1=25 𝑥+7= 𝑥 2 +10𝑥+25 (𝑥+1) 3 5 =8 6-5 p. 395: 9-33 odd 0= 𝑥 2 +9𝑥+18 (𝑥+1) 3 5 5 3 = 8 5 3 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