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Chapter 10: Q 10.25 (page 1164)

Solve 9m2-12m+4=25.

Short Answer

Expert verified

The solutions arem=-1,m=73.

Step by step solution

01

Given Information.      

The Given equation is 9m2-12m+4=25.

02

Factor the trinomial. 

(3m)2-3·4·m+4=25(3m-2)2=25

Use square root property.

3m-2=±253m-2=±5

03

Isolate the term.    

3m=2±5m=2±53

Rewrite to show two solutions.

m=2+53=73m=2-53=-33=-1

The solutions arem=-1,m=73.

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