Please help me Use (x − 4)^2 − 28 = 8 for the following:

a. Explain why (x − 4)^2 − 28 = 8 has two solutions. (5 pts)

b. Solve the equation to find the solutions. Show your work. (5 pts)

a) Because both sides are perfect squares b) (x-4)² – 28 = 8

(x–4)² = 36

Square root both sides

√(x–4)² = √36

x–4 = 6

x= 10

Step-by-step explanation:

(x–4)(x–4) = 36

x² – 8x+ 16 = 36

x² – 8x – 20 = 0

(x² + 2x)( –10x – 20) = 0

x(x+2) – 10(x+2) = 0

(x+2)(x–10) = 0

x = 10 or –2

x = 10

step-by-step explanation:

(s)he  is right it would be 5.5% because it is smaller than 15.5% or anything smaller than 15.5% in general

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: