Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

How can you tell which one out of 4 equations has 2 equal roots or 2 distinct real roots? Are there any tips? How would you know if a factor already doesn't have any more roots? 

I have examples of equations if needed! :) 

Thank you!


Sagot :

Recall the general form: ax² +bx +c = 0

You should be familiar with the Quadratic Formula. The Discriminant is used to predict the nature of the roots of an equation, it is the radicand in the formula.

[tex]\boxed{discriminant = b^{2} -4ac}[/tex]


Two distinct real roots if discriminant >0.

Equal roots if discriminant = 0.

Two distinct unreal(imaginary) roots if discriminant <0.