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:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

answer: download photomath it's legit.

step-by-step explanation: