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 is negaitve, there are no "real" solutions. The solutions are "imaginary".
It has two complex solutions.
2
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imaginary
By calculating the discriminant of the equation and if it's negative the equation will have no solutions
If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".
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
The quadratic has no real solutions.
It has two complex solutions.
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 is less then 0 then it will have no real solutions.
6
It has 2 equal solutions
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.
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.
Two complex solutions.