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If the discriminant of the quadratic equation is zero then it will have 2 equal roots.
If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.
If the discriminant of the quadratic equation is less than zero then it will have no roots.
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What is the difference between a radical equation and a quadratic equation?
radical equations have sq roots, cube roots etc. Quadratic equations have x2.
Is it possible for two different quadratic equations to have the same roots?
yes
A quadratic equation has how many real roots?
Quadratics can two, one or no real roots.
What is the discriminant and how does it help in knowing how many solutions a quadratic equations will have?
Put the equation into ax²+bx+c=0 form. The discriminant is b²-4ac. If it is negative, there are no real roots. If it is 0, there is one real root. If it is positive, there are 2 real roots. ■
What is Nature of the zeros of a quadratic function?
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
