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I. 6x^(2) + 25x + 24 = 0" ...

I.` 6x^(2) + 25x + 24 = 0" "II. 12y^(2) + 13y + 3 = 0`

A

` x gt y`

B

` x ge y`

C

` x lt y`

D

Relationship between x and y cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
C
I. ` 6x^(2)+25x+24 = 0`
` D = sqrt(b^(2) - ac) `
` D = sqrt(625-4 xx 24 xx 6)`
` = sqrt(49) = 7`
` x_(1) = (-b+7)/12 = (-25+7)/12 = (-18)/12 =- 3/2`
` x_(2) = (-b-7)/12 = (-25-7)/12 = (-32)/12 =- 8/3`
` x = (-3)/2, (-8)/3`
II.` 12y^(2)+13y+3 = 0`
` y_(1) = (-13+sqrt(169-144))/24`
` = (-13+5)/24 = (-8)/24 = (-1)/3`
` y_(2) = (-13-sqrt(169+144))/24 = (-18)/24 = (-3)/4`
` y = (-1)/3, (-3)/4 rArr x lt y`
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