Question

Sum and product of two numbers are 5
and 6 respectively. Find the sum of
reciprocals of their squares.​

Answer 1

Step-by-step explanation:

Aloha !

2+3=5

2×3=6

Thank you

@ Twilight Astro ✌️☺️❤️

Answer 2

Answer:

13/36.

Step-by-step explanation:

let the numbers be a and b.

Sum = 5

a + b = 5 ---- equation (1)

Product = 6

ab = 6 ---- equation (2)

We know that , (a + b)² = a² + b² + 2ab

then (a - b)² = (a + b)² - 4ab because

a²+ b² + 2ab - 4ab = a² + b² - 2ab = (a - b)²

So, from the first equation,

(a - b)² = (5)² - 4(6)

(a - b)² = 25-24

(a - b)² = 1

a - b =√1

a - b = 1 ---- equation (3)

Add equations (1) and (3)

a+ b + a - b = 5+1

2a = 6

a = 6/2

a = 3.

Substitute a value in equation (2)

ab = 6

3(b) = 6

b = 6/3

b = 2.

Squares of two numbers are 3² ; 2² = 9 ; 4

Reciprocals = 1/9 ; 1/4

Sum = 1/9+1/4

= (4+9)/36

= 13/36.