Question

If 2^x+y =32 and 2^x-y= 4 , then x^2+y^2 is

Answer 1

$2 {}^{x} + y = 32 \\ 2 {}^{x} - y = 4 = by \: eqution \:1 and \: 2 \\ 2 {}^{2x} = 36$

Answer 2

2x + y = 32 ....(i)

2x - y = 4 ....(ii)

On adding both the equations ,

We get

4x = 36

x = 36/4

x = 9

On putting the values of x in equation for( i)

2*9 + y = 32

18 + y = 32

y = 32 - 18

y =14

So x = 9

y =14

So x ^2 + y ^2,= 9^2 + 14^2

= 81 + 196

= 277

Hope this will help you .....