Question

IF (2x^2 - 5y^2) : xy = 1:3, find the ratio x:y​

Answer 1

Step-by-step explanation:

ANSWER

Given,

(2x

2

−5y

2

):xy=1:3

or,

xy

2x

2

−5y

2

=13

or, 2x

2

−3xy−5y

2

=0

or, 2x

2

−5xy+2xy−5y

2

=0

or, x(2x−5y)+y(2x−5y)=0

or, (x+y)(2x−5y)=0

Since x,y are given to be positive then 2x=5y or, x:y=5:2.

Answer 2

Step-by-step explanation:

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