Solve the inequality and express in interval notation x^2 + 8x + 5 < 0

Hello from MrBillDoesMath!

x > -4 - sqrt(11) and x < -4 + sqrt(11)

Discussion:

Let's complete the square by adding and subtracting the value 16 from both sides

x^2 + 8x + 5 < 0   =>

(x^2 + 8x + 16) + 5 < 0 + 16 =>      complete the square

(x + 4) ^2 + 5  < 16 =>                    subtract 5 from both sides

(x+4)^2 < 16 - 5 = 11  =>                  take square root of both sides

(x+4) > -sqrt(11)  and ( x+4 ) < sqrt(11)  =>

x > -4 - sqrt(11) and x < -4 + sqrt(11)

Thank you,

MrB

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.