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The quadratic has no real solutions.

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โˆ™ 2012-05-22 19:41:03
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: How many real solutions does a quadratic equation have if its discriminant is negative?
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Related questions

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 do you do if you have a negative discriminant in a quadriatic equation?

By calculating the discriminant of the equation and if it's negative the equation will have no solutions


What type of equation is b2-4ac?

6


What is true about a quadratic if the discriminant is negative?

There are two complex solutions.


Could you ever have three solutions to a quadratic equation?

No. By definition, a quadratic equation can have at most two solutions. For a quadratic of the form ax^2 + bx + c, when the discriminant of a quadratic, b^2 - 4a*c is positive you have two distinct real solutions. As the discriminant becomes smaller, the two solutions move closer together. When the discriminant becomes zero, the two solutions coincide which may also be considered a quadratic with only one solution. When the discriminant is negative, there are no real solutions but there will be two complex solutions - that is those involving i = sqrt(-1).


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".


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.


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


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

It has a complete lack of any x-intercepts.


If the discriminant of an equation is negative?

It has two complex solutions.


A quadratic equation that can be separated into two identical factors always has a discriminant that is?

Assuming the coefficients are real, the discriminant is non-negative. The reason for this is that in this case, if the solutions are complex, they must needs be conjugats of one another, i.e., two different solutions.


What is the expression b2-4ac under the radical sign in the quadratic formula?

6

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