> > Please help ASAP Find the value of the discriminant and describe the number and type of roots.

Please help ASAP Find the value of the discriminant and describe the number and type of roots.

x2 + 5x + 6 = 0 x2 - 8x +16 = 0 3x2 - 5x + 6 = 0 6x2 -x - 12 = 0 3x...

127 Views

Please help ASAP Find the value of the discriminant and describe the number and type of roots.

x2 + 5x + 6 = 0 x2 - 8x +16 = 0 3x2 - 5x + 6 = 0 6x2 -x - 12 = 0 3x2 - 8x + 2 = 0

Answer

[tex]ax^2+bx+c=0\\\\the\ discriminant\ \Delta=b^2-4ac\\\\If\ \Delta > 0\ then\ two
oots\\If\ \Delta=0\ then\ one
oot\\If\ \Delta 0-two
ational
oots\\\\x^2-8x+16=0\\a=1\ b=-8\ c=16\\\Delta=(-8)^2-4\cdot1\cdot16=64-64=0-one
ational
oot\\\\3x^2-5x+6=0\\a=3\ b=-5\ c=6\\\Delta=(-5)^2-4\cdot3\cdot6=25-72=-47< 0-no
eal
oots[/tex] [tex]6x^2-x-12=0\\a=6\ b=-1\ c=-12\\\Delta=(-1)^2-4\cdot6\cdot(-12)=1+288=289-two
ational
oots\\\\3x^2-8x+2=0\\a=3\ b=-8\ c=2\\\Delta=(-8)^2-4\cdot3\cdot2=64-24=40-two\ irrational
oots[/tex] ================================================== [tex]A
ational
oots\ if\ \sqrt{\Delta}\in\mathbb{N}\\\\An\ irrational
oots\ if\ \sqrt\Deltaotin\mathbb{N}[/tex]

To see more answers head over to College Study Guides
Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017

This 50 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 127 views.

Recommended Questions