Wednesday, December 26, 2012

Solve x^2 + 7x +9 = 0 using the quadratic formula

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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