Question

Show that the equation x²+x+2=0 equation has real roots, and solve by using quadratic formula.

Answer 1

using the quadratic formula:


x=(−b-√(b^2−4ac))/2a
or
x=(−b+√(b^2−4ac))/2a


Here a=1 , b=1 and c=2


So,


x=((−1+√(1−4∗1∗2))/2∗1


or


x=((−1-√(1−4∗1∗2))/2∗1


which is equal to :


x=(−1+√7i)/2
or
x=(−1−√7i)/2

therefore the roots are not real roots
and they are
x=(−1+√7i)/2
or
x=(−1−√7i)/2