Question

If the sum of a and b is 10 and the sum of their squares is 52 what is their product

Answer 1

Answer:

24

Step-by-step explanation:

4+6=10

4^2+6^2=52

4×6=24

Answer 2

Answer:

24

Step-by-step explanation:

a+b=10 .........(1)

a²+b²=52

Squaring both sides of (1) we get,

(a+b)²=10²

a²+b²+2ab=100

52+2ab=100 (as a^2+b^2=52)

2ab=100-52

2ab=48

ab=24

Hence,

The product of the numbers 'a' and 'b' whose sum is 10 and squares is 52 =24(product)