School Topper District Topper | Toughest Quadratic Question | Class 10 Maths

[00:00:00]Kids, a good question is on your screen.

[00:00:02]If the discriminant of this quantity is 9a² then find the root of the root. It says that its discriminant is 9a². So what will be the nature of the root? This is a very amazing and lovely question, my child.

[00:00:11]Use your brain. So look, discriminate defines what the nature of the root is? Now the discriminate is my 9a². You look at 9a². Can I write 9a² like this? 3a That's a very good question, child. I can write its square. This means 9a² is a perfect quantity. Perfect square. So pay attention son, when we find the root, then -b is a root plus a minus discriminant / 2. d is our perfect square. So when I undercut this, the ration number will come out.

[00:00:37]Irshal will not come. Isn't it? So look at the options. Well, d is our perfect square and is also positive. Look carefully, son.

[00:00:42]This is a quantity, it will always be greater than 0. The whole square of 3a will always be greater and equal than 0. Why would it happen?

[00:00:48]Because a perfect square number is never negative. So I have presented two quantities of this number before you. The whole square of 3a is, firstly, a perfect square quantity, i.e., 9a², and secondly, it will never be negative because a square number is never negative. So d will never be negative. So the routes are real.

[00:01:00]Reals also have to be found and since it is a perfect square, the square root will also be found.

[00:01:03]So reals have to come and rations have to come too. Let's check the options. It is not real and equal, sir. They will not be real and equal.

[00:01:08]If d were zero, if d were zero, see if it is not equal to zero, then this quantity would always have been positive. If d were zero, both roots would be equal. If d is zero then both roots are real but not equal. There is a ration, yes it is distinct. It is different.

[00:01:17]Absolutely correct. Equal is equal and repeated. It is not repeated. This is also wrong. There is no imagery at all, why?