 Hi, and welcome to the session. Let's work out the following question. The question says, find the value of p for which 5x square minus px plus 1 equals to 0 has real roots. So let us see the solution to this question. Now in this question, the equation given to us is 5x square minus px plus 1 equals to 0. Now when we compare it to the equation ax square plus bx plus c equal to 0, we get a as 5, b is minus p, and c is equal to 1. Now we know that the discriminant is equal to b square minus 4ac. So we simply put in the values here. And we get minus p, the whole square, minus 4 into 5 into 1. This is equal to p square minus 20. Now for real roots, we have the discriminant should be greater than 0. That is, b square minus 4ac should be greater than 0. We've just found out that b square minus 4ac is equal to p square minus 20. So we have p square minus 20 is greater than 0. This implies p square is greater than square root of 20, the whole square. And this implies that p should be greater than square root 20, or p should be greater than minus square root 20. Now here we see that we have p is less than minus square root 20. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.