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Chapter 10: Q 10.24 (page 1163)

Solvey2+12y+36=32.

Short Answer

Expert verified

The solutions arey=-6+42,y=-6-42.

Step by step solution

01

Given Information.     

The Given equation is y2+12y+36=32.

02

Factor the trinomial. 

(y+6)2=32

Use square root property.

y+6=±32

Factor the radical.
y+6=±2×2×2×2×2y+6=±42

03

Isolate the term.    

y=-6±42

Rewrite to show two solutions.

y=-6+42,y=-6-42

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