If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".
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.
No real roots but the roots are a pair of complex conjugates.
If the discriminant of a quadratic equation is zero then it has two identical roots.
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
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
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.
No real roots but the roots are a pair of complex conjugates.
the expression "b2-4ac" with respect to quadratic equations is called the discriminant. the discriminant of the equation tells whether or not the roots will be real numbers or not. If the discriminant is negative, then the roots are imaginary.
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If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
The quadratic has no real solutions.
It has a complete lack of any x-intercepts.
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 is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.