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There are two complex solutions.

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Q: What is true about a quadratic if the discriminant is negative?
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How many real solutions does a quadratic equation have if its discriminant is negative?

The quadratic has no real solutions.


What does a quadratic equation graph have with a negative discriminant?

It has a complete lack of any x-intercepts.


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 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.


If the discriminant of a quadratic equation equals zero what is true of the equation?

It has one real solution.


How many discriminant did this quadratic equation have -4j2 3j-280?

A quadratic equation has one discriminant.


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.


What determines if a quadratic function has no x-intercepts?

If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.


What is the discriminant of a quadratic function?

The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.


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 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.


Which values for a b or c can you not use the quadratic equation?

a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.a = 0. That is because a = 0 implies that there is no quadratic term and so the equation is not a quadratic!There may be some who make claims depending on the value of the discriminant (which is b2-4ac). That is true only for elementary mathematics. In more advanced mathematics (complex analysis), the quadratic equation can be used in all cases except when a = 0: the value of the discriminant is irrelevant.