Q: What is true of an equation if its discriminant is zero?

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That its roots (solutions) are coincident.

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.

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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 is less than zero then it will have no real roots

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That its roots (solutions) are coincident.

That its roots (solutions) are coincident.

It has one real solution.

It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots

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.

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 a quadratic equation is zero then it has two identical roots.

The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.

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.

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.

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

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