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I. 5x² + 7x – 90 = 0 II. 3y² + 28y + 64 = 0
Question

In the following question, two equations are given. Solve these equations, and answer the question given below. 


I. 5x² + 7x – 90 = 0
II. 3y² + 28y + 64 = 0

A.

if x > y

B.

if x ≥ y

C.

if y > x

D.

if y ≥ x

E.

if x = y or no relation can be established

Correct option is E

​​
I. 5x² + 7x – 90 = 0
5x² + 25x – 18x – 90 = 0
5x (x + 5) – 18 (x + 5)= 0
(x + 5) (5x – 18) = 0
x=-5,18/5
II. 3y² + 28y + 64 = 0
3y² + 12y + 16y + 64 = 0
3y (y + 4) + 16 (y + 4) = 0
(3y + 16) (y +4) = 0
y = -16/3, -4

Values

(x)

(y)

Relation

1

18/5

-4

(x > y)

2

18/5

-16/3

(x > y)

3

-5

-4

(x < y)

4

-5

-16/3

(x > y)

No relation can be established between x & y

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