SOLUTION: Find the discriminant for each equation. Describe the roots. Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational) x^2 -16x +4 =0

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Question 627756: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
x^2 -16x +4 =0
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
From we can see that , , and


Start with the discriminant formula.


Plug in , , and


Square to get


Multiply to get


Subtract from to get


So the discriminant is


Since the discriminant is greater than zero, this means that there are two real solutions.


Since 240 is NOT a perfect square, these two real solutions are irrational solutions.


So we have 2 real and irrational solutions.

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