?.	9	+	19	= ?x
	? x		? x

?. y5 -	( 2 × 14 ) 11/2	= 0
	? y

According to question ,we can say that
From equation ?. x² ? 19x + 84 = 0
? x² ? 7x ? 12x + 84 = 0
? (x ? 7)(x ? 12) = 0
? x = 7, 12
From equation ?. y² ? 25y + 156 = 0
? y² ? 13y ? 12y + 156 = 0
? (y ? 13)(y ? 12) = 0
? y =12, 13
? x ? y
From above it is clear that x ? y is correct answer .

As per the given above question , we have
Let k₁ and k₂ be the roots of quadratic equation .
One root is k₁ = ?5
So the other root is k₂ = ? ?5
? Sum of the roots = k₁ + k₂ = ?5 + ( -?5 ) = 0
and product of the roots = k₁ × k₂ = ? (?5) (- ?5) = ?5
? Required equation is x² - (sum of the roots)x + (product of the roots) = 0
? x² - 5 = 0.

Let Mr . Arjun is on tour for N days.
Then, according to the question,
Difference in expenses per day for original and extended tour = 3
360/N - 360/(N + 4) = 3
? 1/N - 1/(N + 4) = 3/360 = 1/120
? [N + 4 - N] / [ N x (N + 4)] = 1/120
? N(N + 4) = 4 x 120 = 480
? N² + 4N - 480 = 0
? N² + 24 - 20x - 480 = 0
? N(N + 24) - 20(N + 24) = 0
? (N + 24) (N - 20) = 0
? N = 20
(we ignore -ve value of x, that is, -24 because days cannot be negative)

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 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 .

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 ,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 know that
?. x² - 1 = 0
? x² = 1
? x = ± ?1 = ± 1
?. y² + 4y + 3 = 0
? y² + y + 3y + 3 = 0
? y( y + 1) + 3( y + 1) = 0
? ( y + 1) ( y + 3)
? y = -3 or -1
From above equations it is clear that x ? y is correct answer .