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The real roots of what, exactly? If you mean a square trinomial, then:
If the discriminant is positive, the polynomial has two real roots.
If the discriminant is zero, the polynomial has one (double) real root.
If the discriminant is negative, the polynomial has two complex roots (and of course no real roots).
The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.
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What is the difference between real solutions and real roots when dealing with discriminant?
There is no difference between real solutions and real roots.
A quadratic equation has how many real roots?
Quadratics can two, one or no real roots.
When the discriminant is greater than 0 how many real roots are there?
There will be 2 real roots
What does the discriminant tell us about the nature of the roots?
The equation ax^2 + bx + c = 0 where a, b and c are real and a is non-zero has discriminant D = b^2 – 4ac. Then,if D > 0 the equation has two real roots which are distinct;if D = 0 the equation has two real roots which are coincident;if D < 0 the equation has two roots which form a complex conjugate pair (advanced mathematics only).
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.
