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Chapter 9: Q. 112 E (page 886)

Solve the equation y2+8y=48by completing the square and explain all your steps.

Short Answer

Expert verified

The solution isy=-12,y=4

Step by step solution

01

Step 1. Given information

Equation:y2+8y=48

02

Step 2. Calculation 

We have,

y2+8y=48

y2+8y+12路82=48+12路82 take half of 8 and square it, then add to both sides

y2+8y+16=48+16

y+42=64 factor the perfect square trinomial

y+42=64 using square root property

y+4=卤8 simplify

y+4-4=-8-4,y+4-4=8-4

y=-12,y=4

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