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Why does a discriminant in a quadratic function work?
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.
How do you find how many x intercepts the parabola has using the discriminant?
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
What are the three outcomes of a discriminant?
The discriminant can be positive, zero or negative.
What is the discriminant of x squared equals 4?
The discriminant is 16
What is the discriminant of the polynomial 2x2 5x 4?
The discriminant is -7
Why does a discriminant in a quadratic function work?
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.
Why does a positive discriminant result in two real solutions?
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.
If Y6x and 6x24 then what number does y equal?
y=24
What does the discriminant tell you?
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
How do you tell if a discriminant is positive negative or zero?
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
How do you find how many x intercepts the parabola has using the discriminant?
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
What are the Pokemon types of the elite 4 in Pokemon pearl?
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
If the discriminant is zero then there are no imaginary solutions?
Yes, if the discriminant is zero, then there will be a double root, which will be real.Also, If the discriminant is positive, there will be two distinct real solutions. But if the discriminant is negative, then you will have two complex solutions.
What is the discriminant of the polynomial 9x2 - 18x 9?
The discriminant is 0.
What is the discriminant of the equation X2-10?
12
What is the discriminant of 2x2 plus 4x - 9?
The discriminant is 88.
What are the three outcomes of a discriminant?
The discriminant can be positive, zero or negative.
