If the quadratic equation:ax^2 + bx + c has discriminant dthen its roots are x1 = [-b - sqrt(d)]/2a and x2 = [-b + sqrt(d)]/2aIf d > 0 then sqrt(d) is real and non-zero. As a result x1 and x2 are real and distinct.If d = 0 then sqrt(d) = 0 and so x1 = x2 and both are real.If d < 0 the sqrt(d) is imaginary so x1 and x2 form a complex conjugate pair.
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
The discriminant is -7
The discriminant is 16
The discriminant can be positive, zero or negative.
If the quadratic equation:ax^2 + bx + c has discriminant dthen its roots are x1 = [-b - sqrt(d)]/2a and x2 = [-b + sqrt(d)]/2aIf d > 0 then sqrt(d) is real and non-zero. As a result x1 and x2 are real and distinct.If d = 0 then sqrt(d) = 0 and so x1 = x2 and both are real.If d < 0 the sqrt(d) is imaginary so x1 and x2 form a complex conjugate pair.
Suppose the equation ax^2 + bx + c = 0 has the discriminant d.Then the solutions to the quadratic are:x1 = [-b - sqrt(d)]/2a and x2 = [-b + sqrt(d)]/2aIf d > 0 then sqrt(d) is some real non-zero number.Sqrt(d) is real implies x1 and x2 are real.sqrt(d) is non-zero implies that x1 and x2 are distinct.
y=24
The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
Aaron Poison/Bug x1 Bug/Fighting x1 Bug/Flying x2 Poison/Dark x1 Bertha Water/Ground x2 Ground x1 Rock x1 Rock/Ground x1 Flint Fire x1 Fire/Fighting x1 Steel/Ground x1 Normal x1 Ghost/Flying x1 Lucian Psychic x2 Normal/Psychic x1 Fight/Psychic x1 Steel/Psychic x1 Cynthia Ghost/Dark x1 Dragon/Ground x1 Water/Ground x1 Water x1 Grass/Poison x1 Steel/Fighting x1
12
The discriminant is 88.
The discriminant is 0.
The discriminant is -7
The discriminant is 16