**Will Smith**

00:00:30 Introduction to solutions of quadratic equations

00:07:40 NCERT Exercise 4.2 Question 1 part

(i)\(x^2-3x-10=0\)

(ii)\(2x^2+x-6=0\)

(iii) \(\sqrt{2}x^2+7x+5\sqrt{2}=0\)

(iv) \(2x^2-x+\frac{1}{8}=0\)

(v)\(100x^2-20x+1=0\)

00:30:51 NCERT Exercise 4.2 Question 3 Find two numbers whose sum is 27 and product is 182.

00:36:41 NCERT Exercise 4.2 Question 4 Find two consecutive positive integers, sum of whose squares is 365.

00:41:51 NCERT Exercise 4.2 Question 5 The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.