b2 - 4ac
Example:
X2 + 4X - 8 = 0
a = 1
b = 4
c = - 8
42 - 4(1)(- 8)
16 + 32
= 48
==========this positive answer indicates two real roots
A negative answer indicates no real roots and a zero answer indicates only one real root.
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The discriminant of the given quadratic expression is -7
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
Discriminant = b2 - 4ac A positive answer means two real roots, a 0 answer means one real root and a negative answer means no real roots. Example X2 + 3X - 10 = 0 a = 1 b = 3 c = -10 32 - 4(1)(- 10) = 49 ----------------a positive answer telling you this quadratic function has two real roots.