Quadratics can two, one or no real roots.
roots
If the discriminant of a quadratic equation is 0 then it has two equal real roots.
If the discriminant of a quadratic equal is zero then it will have two equal roots.
2
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
2 roots
Quadratics can two, one or no real roots.
The answer is two. Despite its name seems to suggest something to do with four, in a quadratic equation the unknown appears at most to the power of two and so is said to be of second degree. The theorem than pertains here is that the number of roots an equation has is equal to its degrees. However, some of the roots can be repeated - an nth degree equation need not have n different roots. Also the roots do not have to be real. However complex roots ( no real) come in pairs so an equation of odd degree must have at least one real root. A quadratic possibly has no real roots.
Assume the rational function is in its simplest form (if not, simplify it). If the denominator is a quadratic or of a higher power then it can have more than one roots and each one of these roots will result in a vertical asymptote. So, the graph of a rational function will have as many vertical asymptotes as there are distinct roots in its denominator.
It will have two equal roots.
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
roots
If the discriminant of a quadratic equation is 0 then it has two equal real roots.
If the discriminant of a quadratic equal is zero then it will have two equal roots.
If it was expressed as a quadratic equation it would have no roots because the discriminant is less than zero
2