How do you find the zeros, real and imaginary, of y=x^2+32x+44 using the quadratic formula?

1 Answer
Dec 24, 2015

Substitute the coefficients into the quadratic formula to find:

x=-16+-2sqrt(53)

Explanation:

x^2+32x+44 is of the form ax^2+bx+c
with a=1, b=32 and c=44.

This has zeros given by the quadratic formula:

x = (-b+-sqrt(b^2-4ac))/(2a)

=(-32+-sqrt(32^2-(4xx1xx44)))/(2*1)

=(-32+-sqrt(1024-176))/2

=(-32+-sqrt(848))/2

=(-32+-sqrt(4^2*53))/2

=(-32+-4sqrt(53))/2

=-16+-2sqrt(53)