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It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
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What is true about a quadratic if the discriminant is negative?
There are two complex solutions.
What is true of an equation if its discriminant is zero?
it has one real solution
If the discriminant of an equation is zero is true of the equation?
That its roots (solutions) are coincident.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
What has no true roots?
An equation with a discriminant that is less than zero. Note that in getting the discriminant, use the general form: ax²+bx+c=0 D=b²-4ac
What is true about a quadratic if the discriminant is negative?
There are two complex solutions.
What is true of an equation if its discriminant is zero?
it has one real solution
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
If the discriminant of an equation is zero is true of the equation?
That its roots (solutions) are coincident.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
What is true about a quadratic equation when the discriminant of the equation is positive?
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
What has no true roots?
An equation with a discriminant that is less than zero. Note that in getting the discriminant, use the general form: ax²+bx+c=0 D=b²-4ac
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
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 the discriminant of an equation is positive.What is true of the equation?
The equation has two real solutions.
What statements must be true of an equation before you can use the quadratic formula to find the solutions?
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
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
