Question

The sum of two numbers is thousand and the difference between their square is 5600 find the numbers

Answer 1

Answer:

x = 502.8 , y = 497.2

Step-by-step explanation:

Let x and y be the two numbers.

x + y = 1000 -------------> [1]

x² - y² = 5600

(x+y)(x-y) = 5600

x - y = 5.6 -----------------> [2]

x+y = 1000

x -y = 5.6

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2x = 1005.6

=> x = 502.8

=> y = 497.2