this week in math we learnt more about parabolas and I tried relating this week to last week and show you how helpful the discriminant truly is.
here we have 3 parabolas that show the different types of discriminant, in the first one the discriminant is greater than zero and intercepts the x-axis twice meaning we have 2 roots
in the next we have the parabola touch the x-axis which means we have only 1 real root
in the last one the parabola doesn’t even touch the x-axis which means we don’t have an intercept and no roots
It’s important to know the discriminant because then you know how many roots your equation will have, for example.
if discriminant < 0 then your equation will have 0 real roots
if discriminant = 0 then your equation will have exactly 1 root
if discriminant > 0 then your equation will have 2 roots
In the equation above I show you where to find the discriminant and I’ve done a question using it, in the question I did the discriminant is less than 0 meaning that it does not have any real roots