**Directions(1-10):** Find the values of x and y and compare their values and choose a correct option.

- I.x^2 +36x + 323 = 0

II.y^2 + 30y +221 = 0

x > yy > xx >= yNo relation.y >= xOption E

I.x^2 +36x + 323 = 0

=> x^2 +17x + 19x +323 = 0

=>x = -17,-19

II.y^2 + 30y +221 = 0

=>y^2 + 13y + 17y + 221 = 0

=>y = -13,-17

y >= x - I.x^2 +2x – 24 = 0

II.y^2 + 2y – 15 = 0

x >= yx > yy >= xy > xNo relation.Option E

I.x^2 +2x – 24 = 0

=>x^2 + 6x – 4x – 24 = 0

=>x = -6,4

II.y^2 + 2y – 15 = 0

=>y^2 + 5y – 3y – 15 = 0

=>y = -5,3

No relation. - I.x^2 – 29x + 180 = 0

II.y^2 + 10y – 171 = 0

x > yy > xNo relation.y >= xx >= yOption E

I.x^2 – 29x + 180 = 0

=>x^2 – 20x – 9x + 180 = 0

=>x = 20,9

II.y^2 + 10y – 171 = 0

=>y^2 + 19y – 9y – 171 = 0

=>(y+19)(y – 9) = 0

=>y = -19,9

x >= y - I.x^2 +15x + 50 = 0

II.y^2 + 23y + 132 = 0

y >= xx >= yy > xx > yNo relation.Option D

I.x^2 +15x + 50 = 0

=>x^2 + 5x + 10x + 50 = 0

=>x = -5,-10

II.y^2 + 23y + 132 = 0

=>y^2 + 11y + 12y + 132 = 0

=>y = -11,-12

x > y - I.x^2 + 29x + 210 = 0

II.y^2 + 34y + 288 = 0

x >= yy >= xx > yy > xNo relation.Option C

I.x^2 + 29x + 210 = 0

=>x^2 + 15x + 14x + 210 = 0

=>x = -15,-14

II.y^2 + 34y + 288 = 0

=>y^2 + 16y +18y + 288 = 0

=>y = -16,-18

x > y - I.7x^2 +44x – 35 = 0

II.4y^2 – 33y + 35 = 0

y > xx >= yx > yNo relation.y >= xOption A

I.7x^2 +44x – 35 = 0

=>7x^2 – 5x + 49x – 35 = 0

=>x = -7,5/7

II.4y^2 – 33y + 35 = 0

=>4y^2 – 5y – 28y + 35 = 0

=>y = 7,5/4

y > x - I.x^2 + 8x – 128 = 0

II.y^2 – 17y + 72 = 0

x >= yNo relation.y > xy >= xx > yOption D

I.x^2 + 8x – 128 = 0

=>x^2 + 16x – 8x – 128 = 0

=>x = 8,-16

II.y^2 – 17y + 72 = 0

=>y^2 – 9y – 8y + 72 = 0

=>y = 9,8

y >= x - I.x^2 + 5x – 204 = 0

II.y^2 + y – 156 = 0

x >= yNo relation.y >= xx > yy > xOption B

I.x^2 + 5x – 204 = 0

=>x^2 + 17x – 12x – 204 = 0

=>x = -17,12

II.y^2 + y – 156 = 0

=>y^2 + 13y – 12y – 156 = 0

=>y = -13,12

No relation. - I.x^2 – 28x + 195 = 0

II.y^2 – 36x + 323 = 0

y >= xx > yy > xNo relation.x >= yOption C

I.x^2 – 28x + 195 = 0

=>x^2 – 15x – 13x + 195 = 0

=>x = 15,13

II.y^2 – 36x + 323 = 0

=>y^2 – 17y – 19y + 323 = 0

=>y = 17,19

y > x - I.x^2 – 10x + 24 = 0

II.y^2 – 18y + 77 = 0

No relation.x > yy >= xx >= yy > xOption E

I.x^2 – 10x + 24 = 0

=>x^2 – 4x – 6x + 24 = 0

=>x = 4,6

II.y^2 – 18y + 77 = 0

=>y^2 – 11y – 7y + 77 = 0

=>y = 11,7

y > x