Solve the following equation by completing the square. 4x2 -16 x + 8=0 ​

x = 2±sqrt(2)

Step-by-step explanation:

4x^2 -16 x + 8=0

Move the 8 to the right side by subtracting 8 from each side

4x^2 -16 x + 8-8=0-8

4x^2 -16 x =- 8

Get the x^2 term to have a coefficient of 1 by dividing each term by 4

x^2 -4x = -2

Take the coefficient of x and divide by 2 and then square it

-4/2 = -2    

(-2 )^2 = 4

Add this to each side

x^2 - 4x +4  = -2 +4

Factor the right side into ( x +b/2)^2  where b is the coefficient of x

(x-2)^2 = 2

Take the square root of each side

x-2 = ±sqrt(2)

Add 2 to each side

x = 2±sqrt(2)

each side has a different length.  

step-by-step explanation:

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497