Question

If a-b=3 & a2+b2=29 find the value of ab​

Answer 1

Answer:

13 and 14..... ................

Answer 2

The value of ab is equal to 10.

Step-by-step explanation:

Given,

a - b = 3 and $a^2$ + $b^2$ = 29          ...... (1)

To find, the value of ab = ?

We know that,

$(a-b)^{2}=a^{2}+b^{2}-2ab$

Using equation (1), we get

$(3)^{2}$ = 29 - 2ab  

⇒ 9 = 29 - 2ab

⇒ 2ab = 29 - 9

⇒ 2ab = 20

⇒ ab = 10

∴ The value of ab = 10

Thus, the value of ab is equal to 10