What is the discriminant of #3x^2+6x=22#?

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Answer 1 · 2017-07-22T07:17:34

#Delta = 300#

To find the discriminant you need to have a quadratic equation in the form:
#ax^2 +bx +c=0#

So the given equation will become:

#3x^2 +6x-22=0" "larr# does not simplify

The discriminant is found by using the values of #a, b and c#
#a = 3," " b=6 and c= 22#

#Delta = (b^2-4ac)#

#Delta = ((6)^2 -4(3)(-22))#

#Delta = (36+264)#

#Delta = 300#

Once you know the discriminant. its square root tells you what sort of answers to expect. (The nature of the roots)