Question

the product of two number is 18 find the sum of their squares 45 the sum of the number is what​

Answer 1

Answer:

ans. is 9. The two numbers are 6&3

Answer 2

The sum of two numbers is  $\pm$ 9

Step-by-step explanation:

Given as :

Statement I

The product of two number is 18

Statement II

The sum of squares of two numbers is 45

Let The first number = x

Let The second number = y

According to statements

From statement I

∵   product of two number = 18

i.e first number × second number = 18

Or,  x y = 18                          ....................1

Again

from statement II

∵ sum of squares of two numbers = 45

i.e  x² + y² = 45

Or,  (x + y)² - 2 x y = 45

Or, (x + y)² - 2 × 18 = 45                 ( from eq 1 )

Or,  (x + y)² - 36 = 45    

Or,  (x + y)² = 45 + 36

Or, (x + y)² = 81

∴      x + y = √81

i.e     x + y = $\pm$ 9

So, The sum of numbers = x + y =  $\pm$ 9

Hence, The sum of two numbers is  $\pm$ 9  Answer