You can read 29+ pages describe the number and type of roots explanation in PDF format. You will find the discriminant and learn how to use the discriminant to help you know how many roots you have and what type of roots you have. is the Greek symbol for the letter D. So there are two complex roots. Read also describe and describe the number and type of roots Negative then there to two distinct complex roots.
In a special case where the discriminant is zero there is one root. The word nature refers to the types of numbers the roots can be namely real rational irrational or imaginary.
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Dicots have a tap root system while monocots have a fibrous root system which is also known as an adventitious root system.

A tap root system has a main root that grows down vertically from which many smaller lateral roots arise. In your case the equation should be written in the ax2 bx c 0 form which would be x2 -12x 36 0. 5Therefore you have 3 real roots. Complex roots always occur in pairs hence there will always be atleast 1 real root in a cubic polynomial. You have 2 irrational roots because 28 is not a perfect square. Either 1 real or all 3 real.
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