Which statement describes the quadratic equation 6x^2-4x+1=0,correctly?
A. it is one completed real root?
B. It is two complete complex roots?
C. It is two unequal real roots?
Please help me with this
b^2 = 16
4 a c = 24
oh my
b^2 - 4 a c is Negative :(
That means we have a pair of complex conjugate roots
You are great Damon!!
LOL - now how am I to respond to that ?
Thank you and you are welcome :)
To determine the nature of the roots of a quadratic equation, we can use the discriminant, which is the value inside the square root in the quadratic formula. The discriminant can be calculated as follows:
Discriminant (D) = b^2 - 4ac
Now, let's find the discriminant for the quadratic equation 6x^2 - 4x + 1 = 0:
a = 6
b = -4
c = 1
D = (-4)^2 - 4(6)(1)
D = 16 - 24
D = -8
Since the discriminant (D) is negative (-8), we can conclude that the quadratic equation 6x^2 - 4x + 1 = 0 has two complex roots. Therefore, the correct statement is:
B. It has two complete complex roots.