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What is the quadriatic formula used for?
To find the solutions of x in a quadratic equation.
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real 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 zero then?
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
How do you know if the discriminant is negative?
You calculate the value of the discriminant. If the answer is less that zero, that is, if the answer has a minus sign in front then it is negative.
What kind of solution does an equation has if the discriminant is negative?
If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".
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 negative the equation has solutions?
As stated in the attached link, there are three possible discriminant conditions: Positive, Zero, or Negative. If the discriminant is negative, there are no real solutions but there are two imaginary solutions. So, yes there are solutions if the discriminant is negative. The solutions are imaginary, which is perfectly acceptable as solutions.
If the discriminant of an equation is negative?
It has two complex solutions.
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
What type of equation is b2-4ac?
6
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
What solution does a negative discriminant have?
In basic mathematics, a quadratic equation with a negative discriminant has no solutions. However, at a more advanced level you will learn that it has two solutions which form a complex conjugate pair.
What is the quadriatic formula used for?
To find the solutions of x in a quadratic equation.
If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
