Question

Sum of the two positive numbers is 5 and the sum of their square is 17, then their product is ​

Answer 1

Answer:

Product of the numbers

= 4

Step-by-step explanation:

Given that,

Sum of the two positive numbers is 5 and the sum of their square is 17

let the numbers be x and y

given sum = 5

so,

x + y = 5 ....(1)

given sum of their square = 17

so,

x² + y² = 17. .....(2)

now,

from (1)

x + y = 5

squaring both side

(x + y)² = 5²

x² + y² + 2xy = 25

putting the value from (2)

17 + 2xy = 25

2xy = 25 - 17

2xy = 8

x = 8/2

x = 4

now,

putting the value of x on (1)

x + y = 5

4 + y = 5

y = 5 - 4

y = 1

x = 4

so,

Required numbers = 4 and 1

now,

product of the numbers

= 4 × 1

= 4

so,

Product of the numbers

= 4