(a) Given that , find m in terms of p, x and y. (b) Using the method of completing the square, find the roots of the equation , correct to 1 decimal place. (c) The product of two consecutive positive odd numbers is 195. By constructing a quadratic equation and solving it, find the two numbers.
Explanation
(a) (b) (c) Let the first odd number be z. The next positive odd number = z + 2 Since we are told the odd numbers are positive, then z = 13 is the suitable answer. Hence the second odd number = 13 + 2 = 15. The two odd numbers are 13 and 15.
