Question

Sum of 2 numbers is 5. sum of their squares is 35. what is the product of the numbers?

Answer 1

Answer:

- 5

Step-by-step explanation:

Let the numbers be x and y

A/Q, x + y = 5

$and \: {x}^{2} + {y}^{2} = 35$

We have

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \\ => {5}^{2} = 35 + 2xy \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

=> 25 = 35 +2xy

=> 2xy = 25 - 35

=> 2xy = - 10

$=> xy = \frac{ - 10}{2}$

=> xy = - 5

ie. product of the numbers is - 5