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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.
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
If Y6x and 6x24 then what number does y equal?
y=24
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 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.
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
