Suppose the quadratic is a*x^2 + bx + c = 0
If b^2 >= 4ac then the quadratic has real roots.
If b^2 < 4ac then the quadratic has no real roots.
The quadratic has no real solutions.
A quadratic equation can have either two real solutions or no real solutions.
I dont know the answer
The discriminant of a quadratic equation helps determine the nature of its roots - whether they are real and distinct, real and equal, or imaginary.
All quadratic functions with real coefficients can be graphed on a standard x-y graph. Not all quadratic functions have real roots, maybe that's what you were thinking of?
Quadratic functions are used to describe free fall.
You will apply them when solving quadratic equations in which the quadratic expression cannot be factorised.
In general, quadratic equations have graphs that are parabolas. The quadratic formula tells us how to find the roots of a quadratic equations. If those roots are real, they are the x intercepts of the parabola.
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.
If a quadratic function is 0 for any value of the variable, then that value is a solution.