Question

Use the square root property to solve the equation (p+6) ² =5.

A) p=−6± √5
​B) p=6± √5
​C) p=± √5 −6
D) p=± √5 +6

Answer 1

To solve the equation (p+6) ² = 5 using the square root property, take the square root of both sides and consider two cases: p+6 can be either positive or negative.

Step-by-step explanation:

To solve the equation (p+6) ² = 5 using the square root property, we need to take the square root of both sides. The square root of (p+6) ² is |p+6|, so we have |p+6| = √5. Now we need to consider two cases: p+6 can be either positive or negative.

Case 1: p+6 is positive:

p+6 = √5

p = √5 - 6

Case 2: p+6 is negative:

p+6 = -√5

p = -√5 - 6

Therefore, the solutions to the equation are p = √5 - 6 and p = -√5 - 6.