How do you solve #3n ^ { 2} - 9n - 84= 0#?

1 Answer
Feb 16, 2018

An approach by middle term factor...

#3n^2-9n-84=0#

#=>3n^2+12n-21n-84=0#

#=>3n(n+4)-21(n+4)=0#

#=>(n+4)(3n-21)=0#

  • Either, #(n+4)=0=>color(red)(ul(bar(|color(green)(n=-4)|#
  • Or, #(3n-21)=0=>3n=21=>color(red)(ul(bar(|color(green)(n=7)|#

Graphical Representation:- graph{3x^2-9x-84 [-10, 10, -5, 5]}

Hope it helps...
Thank you...