Given the trinomial 3x^2 - 6x + 5, what is the discriminant?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the equation:
3x^2 - 6x + 5
a = 3
b = -6
c = 5
Determine the discriminant.
Solution:
The discriminant of an equation can be determined by a part of the quadratic formula.
The Quadratic formula:
x = −b ± √(b^2 − 4ac)/2a
is used to solve quadratic equations where a ≠ 0, in the form
ax^2+bx+c=0
When b^2−4ac=0 there is one real root.
When b^2−4ac>0 there are two real roots.
When b^2−4ac<0 there are no real roots, only a complex number.
The discriminant of the equation is b^2 - 4ac
Now we can solve the discriminant by substituting the value of a, b and c.
= b^2 - 4ac
= (-6)^2 - (4)(3)(5)
= 36 - 60
= -24
FInal answer:
Discriminant = 24