Question

2x2 + 7x + 6 = 0
How do I found out if this is:
double Root
Real and Rational Root
Real and Irrational Root
Imaginary Root

Answer 1

From 2x^2+7x+6 we can see that a=2, b=7, and c=6


D=b^2-4ac



D=(7)^2-4(2)(6)



D=49-4(2)(6)



D=49-48



D=1



So the discriminant is D=1



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


Also, because the discriminant is a perfect square, this means that you'll have two rational solutions.