SOLUTION: What is a value of a discriminant of this polynomial? 4x^2+7x+4?

Algebra ->  Rational-functions -> SOLUTION: What is a value of a discriminant of this polynomial? 4x^2+7x+4?      Log On


   

Question 423295: What is a value of a discriminant of this polynomial? 4x^2+7x+4?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 4x%5E2%2B7x%2B4 we can see that a=4, b=7, and c=4


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


D=%287%29%5E2-4%284%29%284%29 Plug in a=4, b=7, and c=4


D=49-4%284%29%284%29 Square 7 to get 49


D=49-64 Multiply 4%284%29%284%29 to get %2816%29%284%29=64


D=-15 Subtract 64 from 49 to get -15


So the discriminant is D=-15


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