Which of the following are the coordinates of the roots of #-4x^2 - 32x - 60 = 0#?

1 Answer
Alan P.
Jun 24, 2015

Assuming that the question only really meant to ask for the roots of the given equation:
the roots are #{-3, -5}#

Explanation:

#-4x^2-32x-60=0#
is equivalent to (after dividing both sides by #(-4)#
#color(white)("XXXX")##x^2+8x+15 = 0#
The left side can be factored to give
#color(white)("XXXX")##(x+3)(x+5)=0#
Which implies
#color(white)("XXXX")##(x+3)=0# or #(x+5)=0#

Which, in turn implies
either #x=-3# or #x=-5#

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