I dont even know my times tables yet!! im only 4
There are two complex solutions.
The discriminant must be a perfect square or a square of a rational number.
It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
If the discriminant of a quadratic equation is less than zero, it indicates that the equation has no real solutions. Instead, it has two complex (or imaginary) solutions that are conjugates of each other. This means the parabola represented by the quadratic equation does not intersect the x-axis.
In that case, the discriminant is not a perfect square.
There are two complex solutions.
It has one real solution.
The discriminant must be a perfect square or a square of a rational number.
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.
It discriminates between the conditions in which a quadratic equation has 0, 1 or 2 real roots.
If the discriminant of a quadratic equation is less than zero, it indicates that the equation has no real solutions. Instead, it has two complex (or imaginary) solutions that are conjugates of each other. This means the parabola represented by the quadratic equation does not intersect the x-axis.
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
In that case, the discriminant is not a perfect square.
If the discriminant of a quadratic equation is less than zero, it indicates that the equation has no real solutions. Instead, it has two complex (or imaginary) solutions that are conjugates of each other. This means the parabola does not intersect the x-axis.
In quadratic equations, the solutions represent the values of the variable that make the equation true, typically where the graph of the quadratic function intersects the x-axis. These solutions can be real or complex numbers, depending on the discriminant (the part of the quadratic formula under the square root). Real solutions indicate points where the function crosses the x-axis, while complex solutions indicate that the graph does not intersect the x-axis. Overall, the solutions provide insight into the behavior and characteristics of the quadratic function.
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
If the discriminant of a quadratic equation equals zero, it indicates that the equation has exactly one real solution, also known as a repeated or double root. This means that the parabola represented by the quadratic equation touches the x-axis at a single point rather than crossing it. In this case, the quadratic can be expressed in the form ((x - r)^2 = 0), where (r) is the root.