Question

6xsquare + 6 y square=13xy, what is the ratio of x to y

Answer 1

Answer:

2:3 or 3:2

Step-by-step explanation:

In the attachment.. Hope it's helpful..

Answer 2

Answer:

Ratio of x to y is either 2 : 3 or 3 : 2.

Step-by-step explanation:

    = > 6x^2 + 6y^2 = 13xy

    = > 6( x^2 + y^2 ) = 13xy

    = > x^2 + y^2 = 13xy / 6

     = > ( x^2 + y^2 ) / xy = 13 / 6

     = > ( x^2 / xy ) + ( y^2 / xy ) = 13 / 6

     = > x / y + y / x = 13 / 6

Let, x / y be a and y / b be 1 / a,

     = > a + 1 / a = 13 / 6

     = > ( a^2 + 1 ) / a = 13 / 6

     = > 6( a^2 + 1 ) = 13a

     = > 6a^2 + 6  = 13a

     = > 6a^2 + 6 - 13a = 0  

     = > 6a^2 - 13a + 6 = 0

     = > 6a^2 - ( 9 + 4 ) a + 6 = 0

     = > 6a^2 - 9a - 4a + 6 = 0

    = > 3a( 2a - 3 ) - 2( 2a - 3 ) = 0

    = > ( 2a - 3 ) (3a - 2 ) = 0

    = > a = 3 / 2 or a = 2 / 3

= > x / y = 3 / 2 or x / y = 2 / 3