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91Ó°ÊÓ

Solve(b-3)2-8=24.

Short Answer

Expert verified

The solutions areb=3±42.

Step by step solution

01

Given Information.   

The Given equation is(b-3)2-8=24.

02

Isolate the binomial term. 

(b-3)2=24+8(b-3)2=32

03

Use the square root property. 

b-3=±32

Factor the radical.

b-3=±2×2×2×2×2b-3=±42

04

Solve for b.

b=3±42

Rewrite to show two solutions.

b=3+42,b=3-42

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