Question

The product of to numbes is 12 and sum of their sguares is 25 then the sum two number is

Answer 1

Answer:

The product of two numbers is 12 and the sum of their squares is 25 then the sum of two numbers is 3 and 4.

Explanation:

The sum of the two numbers is equal to 7.

Let the two numbers be a and b respectively.

Given the product of the two numbers = 12

$ab = 12$

The sum of the square of the numbers = 25

$a^2 + b^2=25$

Using the equation -$(a +b)^2 = a^2 + b^2 + 2ab$

(a+b)² = 25 + 2 × 12

(a+b)² = 49

(a+b) = 7

The sum of the two numbers will be equal to 7 and the two numbers will be 3 , 4.

Answer 2

Answer:

a + b = 7

Explanation:

Let the two numbers be a and b.

According to the question,

a × b = 12

a² + b² = 25

a² + b² + 2ab - 2ab = 25 --> [from (a + b)² = a² + b² + 2ab]

(a + b)² - 2ab = 25 ---> [ab = 12 (from the question)]

(a + b)² - 2(12) = 25

(a + b)² - 24 = 25

(a + b)² = 49

By taking square root on both sides,

a + b = 7, which is the required answer