Ex 4.1, 2 (ii) - Chapter 4 Class 10 Quadratic Equations

Transcript

Ex 4.1, 2 Represent the following situations in the form of quadratic equations : (ii) The product of two consecutive positive integers is 306. We need to find the integers. There is a difference of 1 in consecutive integers, Hence, Let First integer = x Second integer = x + 1 Now , given that Product of integers = 306 First integer × Second integer = 306 x (x + 1) = 306 x2 + x = 306 x2 + x – 306 = 0 It is the form of ax2 + bx + c = 0 Where a = 1, b = 1 , c = –306 Hence, it is a quadratic equation .