Question

(x+y+√xy) (x + y - √xy )=?

Answer 1

Answer:

c  

2

 

2

​

 

x+y

​

+  

y−x

​

=c   ...(1)

Rationalising we get  

x+y

​

−  

y−x

​

 

(y+x)−(y−x)

​

=c

We know that (y+x)−(y−x)=2x

we get

x+y

​

−  

y−x

​

=  

c

2x

​

   ...(2)

From (1) and (2)  

2  

y+x

​

=c+  

c

2x

​

 

⇒4(y+x)=c  

2

+  

c  

2

 

4x  

2

 

​

+4x

⇒4y=c  

2

+  

c  

2

 

4x  

2

 

​

⇒4  

dx

dy

​

=4.  

c  

2

 

2x

​

 

⇒  

dx

dy

​

=  

c  

2

 

2x

​

⇒  

dx  

2

 

d  

2

y

​

=  

c  

2

 

2

​

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

${ - {546446166643 \times - y) {x( {? \times \frac{?}{?} }^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{?} }^{2} x \geqslant - y \leqslant {yx \times x \leqslant \times { \leqslant { { \leqslant { \times { \leqslant { \geqslant \frac{?}{ \leqslant { - {?}^{2} }^{2} } }^{?} }^{2} }^{?} }^{2} }^{?} }^{2} }^{2}$