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Chapter 10: Q 35 (page 1165)

Solve the quadratic equation using square root property.

9w2-24w+16=1

Short Answer

Expert verified

The solutions arew=53,1.

Step by step solution

01

Given Information.  

The Given equation is 9w2-24w+16=1.

02

Factor the trinomial.   

9w2-24w+16=1(3w)2-2(3w)(4)+(4)2=1(3w-4)2=1

Use the square root property.

role="math" localid="1648658048030" 3w-4=卤13w-4=卤1

03

Isolate the term. 

3w=4卤1w=4卤13

Rewrite to show two solutions.

w=4+13=53,w=4-13=33=1

The solutions arew=53,1.

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