Question

IF 11x + 13y= r, where R is a perfect square
number less than 100, then number of
possible positive integral solutions of the
equation is​

Answer 1

Step-by-step explanation:

11x+13y=r

no. less than 100 which are perfect squares

1,4,9,16,25,36,49,64,81

case1

11x+13y=1

solns are non integral

case2

11x+13y=4

soln:(-2,2)

case3

11x+13y= 9

soln:(-11,10)

case4

11x+13y=16

soln:(5,-3)

case5

11x+13y=25

soln:(7,4)

case6

11x+13y=36

soln:(-5,7)

case7

11x+13y=49

soln:(8,-3)

case8

11x+13y=64

soln:(7,-1)

case9

11x+13y=81

soln:(18,-9)

so these are the 8 integral solns

Answer 2

Answer:

6

Step-by-step explanation: I think there can be 6 soln. may be! may not be! Thank you!