SOLUTION: Find the discriminant of the function f(x) = 2x^2 - 6x - 3 and determine how many roots the function has.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the discriminant of the function f(x) = 2x^2 - 6x - 3 and determine how many roots the function has.      Log On


   

Question 690097: Find the discriminant of the function f(x) = 2x^2 - 6x - 3 and determine how many roots the function has.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the discriminant of the function f(x) = 2x^2 - 6x - 3 and determine how many roots the function has.
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Disc = b^2 - 4ac
a = 2
b = -6
c = -3
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Quadratics always have 2 roots.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant is +b%5E2+-+4%2Aa%2Ac+
when equation has the form
+f%29x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+
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+f%28x%29+=+2x%5E2+-+6x+-+3+
+a+=+2+
+b+=+-6+
+c+=+-3+
+b%5E2+-+4%2Aa%2Ac+=+%28-6%29%5E2+-+4%2A2%2A%28-3%29+
+b%5E2+-+4%2Aa%2Ac+=+36+%2B+24+
+b%5E2+-+4%2Aa%2Ac+=+60+
When the discriminant is positive, that
means there are 2 real roots