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91Ó°ÊÓ

Solve using the square root property.

p-52+3=19

Short Answer

Expert verified

The solution isp=1andp=9.

Step by step solution

01

Step 1. Given information.

The given equation isp-52+3=19.

02

Step 2. Use the square root property.

The property states that if x2=k, then role="math" localid="1645176881553" x=±k.

03

Step 3. Simplify the given equation.

p-52+3=19p-52=19-3p-52=16p-5=±16p-5=±4

04

Step 4. Solve the equation for p.

p-5=4p=4+5p=9andp-5=-4p=-4+5p=1

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