Question

what will be the mathematical euation that you will obtain based on the information given a.(2w-5)(w-3)=55 b. (2w-3(w-5)=55?
sa module module 2 solving problems involvng factors of polynomials plss sagott po kau ​

Answer 1

Answer:

The mathematical equation will be

a) (2w-5)(w-3) = 55

  $2w^2 -6w - 5w +15=55$

  $2w^2 - 11w =40$

upon factorizing this equation it will be

$2w^2 - 11w-40=0$

$2w^2 - 16w+5w -40=0$

2w(w-8)+5(w-8)=0

(2w+5 )(w-8)=0

w= -5/2 or 8

b) (2w-3)(w-5) = 55

    $2w^2 -10w-3w+15=55$

    $2w^2 -13w= 40$

  $2w^2 -13w -40=0$

w=    13 ±$\sqrt{489}$ /4