Solve by completing the square. m2 − 12m + 5 = 0

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

m = .43, 11.57

Step-by-step explanation:

m^2 − 12m + 5 = 0

Subtract 5 from each side

m^2 − 12m + 5 -5= 0-5

m^2 − 12m  = -5

Take the coefficient of m

-12

Divide by 2

-12/2 = -6

Square it

(-6)^2 = 36

Add it to each side

m^2 − 12m +36= -5+36

(m -6)^2=31

Take the square root of each side

sqrt(m -6)^2=±sqrt(31)

m-6 = ±sqrt(31)

Add 6 to each side

m-6+6 = 6±sqrt(31)

m =  6±sqrt(31)

m = 6+sqrt(31)=11.56776

   = 6 - sqrt(31)=0.43223

Rounding to the nearest hundredth

m = .43, 11.57

6 - √31

6 + √31

Step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.