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What can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no solutions.
If the discriminant is zero the equation has solutions?
It has 2 equal solutions
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 can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
If the discriminant of an equation is 0?
If the discriminant of a quadratic equation is zero then it has two identical roots.
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What are 3 outcomes for the discriminant?
If the discriminant of a quadratic equation is zero then it has equal roots. If the discriminant is greater than zero then there are two different roots. If the discriminant is less than zero then there are no real roots.
What is a discriminant in a quadratic equation?
General form of a quadratic equation is: ax2+b+c = 0 The discriminant is: b2-4ac If the discriminant equals zero then there are two equal roots If the discriminant is greater than zero then there are two different roots If the discriminant is less than zero then there are no real roots
If the discriminant of an equation is zero is true of the equation?
That its roots (solutions) are coincident.
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
If the discriminant equals zero the equation has solution?
one
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no solutions.
What is true of an equation if its discriminant is zero?
it has one real solution
If the discriminant is zero the equation has solutions?
It has 2 equal solutions
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
