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Q: You can determine by the discriminant whether the solutions to the equation are or complex numbers?
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If the discriminant of an equation is negative?

It has two complex solutions.

How many real solutions does the following quadratic equation have by using the discriminant?

If the discriminant > 0 then 2 distinct real solutions.If the discriminant = 0 then 1 double real solution.If the discriminant < 0 then no real solutions (though there are two complex solutions).

What is the discriminant of a quartic equation and how can you determine the real and complex roots from the value of the discriminant?

Child stop trying to cheat on your homework!

What type of equation is b2-4ac?


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 type of the solution determined by?

It depends on the discriminant value of the quadratic equation. If the discriminant is positive, there are two distinct real solutions; if it is zero, there is one real solution; and if it is negative, there are two complex conjugate solutions.

If the discriminant is zero then there are no imaginary solutions?

Yes, if the discriminant is zero, then there will be a double root, which will be real.Also, If the discriminant is positive, there will be two distinct real solutions. But if the discriminant is negative, then you will have two complex solutions.

Discriminant is negative how many solutions?

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).

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.

If the discriminant of a quadratic equation is greater than zero which is true A) It has one real solution. B) It has two complex solutions. C) It has two real solutions?


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

There are two complex solutions.