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.

6 - √31

6 + √31

Step-by-step explanation:

m² - 12m + 5 = 0 m² - 2*6m + 36-31 = 0 (m-6) ²-31=0 (m-6+√31) (m-6-√31) = 0 m-6+√31=0 ⇒ m = 6-√31 m-6-√31=0 ⇒ m=6+√31

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