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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.
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How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
How many real solutions can the quadratic formula give?
A quadratic equation can have either two real solutions or no real solutions.
How do quadratic inequalities differ from quadratic equations?
I dont know the answer
Is it true that some quadratic functions cannot be graphed?
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?
When will you apply surds in real life?
You will apply them when solving quadratic equations in which the quadratic expression cannot be factorised.
Where can i find a real-life application of a quadratic function?
Quadratic functions are used to describe free fall.
What is the graph of a quadratic formula?
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.
How are quadratic equations used in the real world?
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
What happens in the quadratic formula that yields no real solutions?
If the discriminant of b2-4ac in the quadratic equation formula is less than zero then the equation will have no real roots.
How do you know if a quadratic equation can be factored?
The answer depends on what the factors will be. For example, every quadratic can be factored if you allow complex numbers. If not, then it helps to use the discriminant. If it is positive, there are two real factors or solutions. If that positive number is a perfect square, then the factors are rational numbers. If not, they are real but not rational (irrational). If the discriminant is 0, there is one real solution. Lastly, if it is negative, there are no real solutions.
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
How do you know if a equation is a quadratic one?
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.
