Question

if X*y=√x^2+y^2,then find the value of 5*12​

Answer 1

Answer:

Answer

x=

3

+

2

3

−

2

×

3

−

2

3

−

2

[Rationalising the equation]

⇒

(

3

)

2

−(

2

)

2

3

(

3

−

2

)−

2

(

3

−

2

)

=

3−2

3−

2

3

−

2

3

+2

=5−2

6

Similarly for y

y=5−2

6

f(x)=x

2

+xy−y

2

[substituting the value]

=(5−2

6

)

2

+(5−2

6

)(5−2

6

)−(5−2

6

)

2

⇒5(5−2

6

)−2

6

(5−2

6

)

⇒25−10

6

−10

6

+24

⇒49−20

6