Question

(e) (x+ y) : (x - y), (x²+ y²): (x + y)² and (x² – y²)²: (x⁴ - y⁴)​

Answer 1

Answer:

x

2

+y

2

=25,xy=12

Substitute y=

x

12

, we get

⇒x

2

+[

x

12

]

2

=25⇒x

4

+144−25x

2

=0

⇒(x

2

−16)(x

2

−9)⇒x

2

=16 and x

2

=9

⇒x=±4 and x=±3

∴ Total number of values of x is 4.