?. x ² - 1 = 0
?. y ² + 4y + 3 = 0

According to question ,we can say that
From equation ?. x⁴ = 398 + 227 = 625
? x⁴ = 5⁴

From equation ?. y² = 346 - 321 = 25
? y² = 5²

From the given equations , we can say that
From equation ?.
x² - 7x + 12 = 0
? x² - 4x - 3x + 12 = 0
? x( x - 4 ) - 3( x - 4 ) = 0
? ( x - 3 )( x - 4 ) = 0
? x = 3 or x = 4

From equation ?.
y² + y - 12 = 0
? y² + 4y - 3y - 12 = 0
? y( y + 4 ) - 3( y + 4 ) = 0
? ( y - 3 )( y + 4 ) = 0
? y = 3 or y = - 4
From above both equations it is clear that x ? y is correct answer .

According to question,
From equation ?. x³ ? 468 = 1729
? x³ = 2197 = 13³
? x = 13
From equation ?. y² ? 1733 + 1564 = 0
? y² = 169 = 13²
? y = ±13
Thus , x ? y is required answer .

According to question ,we can say that
From equation ?. ?784x + 1234 = 1486
? ?784x = 252
? 28x = 252
? x = 9
From equation ?. ?1089y + 2081 = 2345
? ?1089y = 264
? 33y = 264
? y = 8
? x > y
Thus , required answer will be x > y .

According to given question , we have
?. x³ - 371 = 629
? x = ?1000 = 10
?. y³ - 543 = 788
? y = ?1331 = 11
From above both equations it is clear that x < y is correct answer .