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If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
If the discriminant of an equation is zero then?
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
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 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.
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
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no solutions.
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 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 is zero the equation has solutions?
It has 2 equal solutions
When can you say that the discriminant don't have root?
If the discriminant of a quadratic equation is less than zero then it will have no real roots
When can you say that he discriminant don't have roots?
If the discriminant b2-4ac of a quadratic equation is less than zero then it will have no roots
If the discriminant is zero?
The two roots of the quadratic equation coalesce into one.
If the discriminant equals zero the equation has solutions?
Yes and they will be of equal value
How do you find the discriminant of a equation?
The general form of a quadratic equation is ax2 + bx + c = 0 where a is not zero, a, b and c are constants. The discriminant is b2 - 4ac
What is the discriminant of this equation eight x square plus five x plus six equals zero?
The discriminant is -167.
How many real roots exist if the discriminant of the equation plus 0?
If the discriminant of a quadratic equal is zero then it will have two equal roots.
Why are there usually two solutions in quadratic equations and when do they only have one solution?
If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.
If the discriminant of an equation is positive.What is true of the equation?
The equation has two real solutions.
Why cant the zero product property be used to solve every quadratic equation?
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
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