Question #f7d59

1 Answer
Jul 29, 2015

(If we ignore the equation)
Looking at the plot of the given data points, we can estimate that
#y=0# when #x =-1/2# and when # x = 2 1/3#

Explanation:

(see image below for a rough plot of the given data)
enter image source here
We can see that the curve crosses the X-axis (#y=0#) at about #x=-1/2# and again at about #x = 2 1/3#

Note that the given data points do not match the given equation
(?????)

However, we could solve this equation analytically:
#x^2-2x-1 = x+3#

#rarr##color(white)("XXXX")##x^2-3x-4 = 0#

then using the quadratic formula
#color(white)("XXXX")##x = (-b+-sqrt(b^2-4ac))/(2a)#
we would have
#color(white)("XXXX")##x = (3+-sqrt(9+16))/2 = (3+-5)/2#

#color(white)("XXXX")##x = 4 or x = -1#