the number of elements in the set{(a,b)/ 2a^2+3b^2=35,a,b z} When z is the set of all integers - Maths - Relations and Functions

Question

the number of elements in the set{(a,b)/ 2a^2+3b^2=35,a,b ?z} When
z is the set of all integers

Gursheen Kaur · Accepted Answer

Dear Student, here is answer
2a2+3b2=353b2=35-2a2b = ±1 or ±3so, if b = ±1, then 2a2=35-3=32a2=322=16a=±4and if b = ±3, then 2a2=35-27=8a2=82=4a=±2(4,1) (4,-1) (-4,1) and (-4,-1)(2,3) (2,-3) (-2,3) and (-2,-3)
Hence,there are 8 no of elements

the number of elements in the set{(a,b)/ 2a^2+3b^2=35,a,b ?z}. When z is the set of all integers.