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Find the relation between x and y based on the given equations i) 6x2 − 7x − 55 = 0 ii) 15y2 + y − 28...

Find the relation between x and y based on the given equations

i) 6x2 − 7x − 55 = 0

ii) 15y2 + y − 28 = 0

A

y ≥ x

B

y ≤ x

C

y > x

D

y < x

E

Relation between x and y cannot be determined

A

y ≥ x

B

y ≤ x

C

y > x

D

y < x

E

Relation between x and y cannot be determined

Solution

6x2 − 7x − 55 = 0 6x2 + 15x − 22x − 55 = 0 (3x − 11)(2x + 5) = 0 x = 11/3 , −5/2 ——-(1) 15y2 + y − 28 =...

6x2 − 7x − 55 = 0

6x2 + 15x − 22x − 55 = 0

(3x − 11)(2x + 5) = 0

x = 11/3 , −5/2 ——-(1)

15y2 + y − 28 = 0

15y2 + 21y − 20y − 28 = 0

(3y − 4)(5y + 7) = 0

y = 4/3, −7/5 ———(2)

−5/2 < −7/5 < 4/3 < 11/3

From the Eq (1) and (2) we can say that the relation between x and y cannot be determined.

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