00:01
This question has lost its formatting.
00:02
That's why it's quite difficult to understand what is asked.
00:05
So i will just briefly write it over here.
00:08
They are saying that if there are various parts, the first part is if discriminant of a quadratic equation, if discriminant of a quadratic equation is two, then how many rules will the solution have? what kind of rules? is that two non -real rules? there are four options, two non -real.
00:30
Roots then one real root then two irrational roots and the fourth option is two rational roots and the fifth option is none of the above of the above okay and the next question is on the same grounds the only thing which has changed is the discriminant so that is four so in second part we have to answer the same question if the discriminant is four in the third part discriminant is negative 2 and then the fourth part of the discriminant is 0 now everything can be answered if we if we know that of what is the what is the basis behind it what is the logic behind it so remember that the root of a quadratic equation is given by minus b plus minus root d over 2 or minus b or minus b over 2a now if there are three broad cases if d is positive it has real roots if d is zero in fact real roots and uh that will be two distinct real roots if d is zero then it has also real root but that's just one because after all this value will become zero then there's no point of this plus and minus sign so it's just negative b over two is only root and if d is negative then definitely the square root of a negative number is not real so it has non real non real roots and both are non real root now the question is when will it have a rational root? because real roots can be rational or irrational.
02:22
So in these two cases, if d is a perfect square, it means that the square root of d will be integral value and then definitely it will have a, it will be rational.
02:43
Otherwise irrational.
02:44
So let's go back to the options to the points.
02:47
Now two, two is first of all positive.
02:50
It falls in this category.
02:52
It has two real roots.
02:53
Now, whether the two roots are irrational or rational, that should be irrational, right? because two is not a perfect square.
03:01
Root 2 does not, root 2 is not integral...