SOLUTION: compute the discriminant of the quadratic equation 3x^2+x+2=0 then write a brief sentence describing the number and type of solution for this equation

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: compute the discriminant of the quadratic equation 3x^2+x+2=0 then write a brief sentence describing the number and type of solution for this equation      Log On


   

Question 541323: compute the discriminant of the quadratic equation 3x^2+x+2=0 then write a brief sentence describing the number and type of solution for this equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 3x%5E2%2Bx%2B2 we can see that a=3, b=1, and c=2


D=b%5E2-4ac Start with the discriminant formula.


D=%281%29%5E2-4%283%29%282%29 Plug in a=3, b=1, and c=2


D=1-4%283%29%282%29 Square 1 to get 1


D=1-24 Multiply 4%283%29%282%29 to get %2812%29%282%29=24


D=-23 Subtract 24 from 1 to get -23


So the discriminant is D=-23


Since the discriminant is less than zero, this means that there are two complex solutions.


In other words, there are no real solutions.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim