We know that the quadratic formula for finding the roots
of the quadratic equation is:
x1 = [-b + sqrt(b^2 -
4ac)]/2a
x2 = [-b - sqrt(b^2 -
4ac)]/2a
We know that the expression under the square root
is called the discriminant of the quadratic, delta.
If
delta is positive, the equation has 2 real distinc
roots.
If delta is zero, the equation has 2 equal real
roots.
We'll compute delta. For this reason, we'll identify
a,b,c:
a = 1 , b = 7 , c =
9
delta = 49 - 36
delta = 13
> 0
Since delta is positive, the equtaion has 2 real
distinct roots:
x1 = (-7+sqrt
13)/2
x2 = (-7-sqrt
13)/2
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