Question

sum of two numbers is 17 and sum of their squares is 145 so what is the product of the number?

Answer 1

Let the two numbers be X and Y

According to the question

x + y = 17 -----------
x = 17 - y ---------- equation 1 putting in equation 2

x² + y² = 145 ------------ eq 2

( 17 - y) ² + y² = 145

289 + y² - 34y + y² = 145

2y² - 34y + 289 - 145 = 0

2y² - 34y + 144 = 0

take the 2 common

2 ( y² - 17y + 72 ) = 0

y² - 17y + 72 = 0.

now factorise it

Answer 2

this is required answer