Question

the product of two numbers is -2544 and sum is 5 find the numbers
plz give the answer fast

Answer 1

Solution : Let first number be x then second number will be - 2544/x.

Given : The sum of two numbers is 5.

Therefore,

x + (-2544)/x = 5

x - 2544/x = 5

(x² - 2544)/x = 5

x² - 5x - 2544 = 0

D = b² - 4ac

D = 25 - 4(1)(- 2544)

D = 101201

$\bold{x = \frac{ - b + \sqrt{d} }{2a} \: or \: \frac{ - b - \sqrt{d} }{2a}} \\ \bold{x = \frac{5 + 101}{2} or \: \frac{5 - 101}{2}} \\ \bold{x = 53 \: or \: - 48}$

Answer : 53 or - 48