Question

if a minus b equal to 5 and a square + b square equal to 53 find the value of AB​

Answer 1

Hi,

According to the problem given,

a - b = 3 ---( 1 )

a² + b² = 29----( 2 )

We know that the algebraic identity,

( a - b )² = a² + b² - 2ab

3² = 29 - 2 ab

[ From ( 1 ) and ( 2 ) ]

9 = 29 - 2ab

2ab = 29 - 9

2ab = 20

ab = 20/2

ab = 10

I hope this helps you.

:)

Answer 2

Answer:

Given that, a−b=5 and a

2

+b

2

=53

∵(a−b)

2

=a

2

+b

2

−2ab

⟹(5)

2

=53−2ab

⟹25=53−2ab

⟹2ab=53−25

⟹2ab=28

⟹ab=

2

28

∴ab=14 (Ans)

Step-by-step explanation:

Ab =14