Question

If the sum of two number is 3 and the sum of their squares is 12 , then their product is equal to

Answer 1

please find the attachment

Answer 2

Their product is -3/2

Let,the two numbers = a and b ( Here a,b are assumed as variables to calculate the multiplication product of the two numbers,as per the conditions mentioned in the question)

• So, addition value of the two numbers is

a+b = 3

• And, the addition value of the square of the two numbers is

a²+b² = 12

Now,

(a+b)²= (3)²

a²+2ab+b² = 9 [ Because, the value of (a+b)² is a²+2ab+b²]

a²+b²+2ab = 9

12+2ab = 9

2ab = 9-12

2ab = -3

ab = -3/2

So,the value of their multiplication product of the two numbers = a×b = ab = -3/2 (answer)