If (4x^2- 3y^2) : (2x^2 +5y^2) = 12:19, then find the ratio of x:y.
Answers
Answered by
125
Hi ,
We know that ,
******************************************
If a : b = c : d then a, b , c ,d are in
proportion.
a × d = b × d
or
Product of extrems = product of
means
**********************************************
Now ,
( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19
( 4x² - 3y² ) 19 = ( 2x² + 5y² )12
76x² - 57y² = 24x² + 60y²
76x² - 24x² = 60y² +57y²
52x² = 117y²
x² / y² = 117 / 52
( x/ y )² = ( 13 × 9 ) / ( 13 × 4 )
= 9 / 4
( x / y )² = ( 3 / 2 )²
Therefore ,
x / y = 3 / 2
x : y = 3 : 2
I hope this helps you.
:)
We know that ,
******************************************
If a : b = c : d then a, b , c ,d are in
proportion.
a × d = b × d
or
Product of extrems = product of
means
**********************************************
Now ,
( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19
( 4x² - 3y² ) 19 = ( 2x² + 5y² )12
76x² - 57y² = 24x² + 60y²
76x² - 24x² = 60y² +57y²
52x² = 117y²
x² / y² = 117 / 52
( x/ y )² = ( 13 × 9 ) / ( 13 × 4 )
= 9 / 4
( x / y )² = ( 3 / 2 )²
Therefore ,
x / y = 3 / 2
x : y = 3 : 2
I hope this helps you.
:)
Answered by
7
Answer:
3:2
Step-by-step explanation:
If a : b = c : d then a, b , c ,d are in
proportion.
a × d = b × d
or
Product of extrems = product of
means
**********************************************
Now ,
( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19
( 4x² - 3y² ) 19 = ( 2x² + 5y² )12
76x² - 57y² = 24x² + 60y²
76x² - 24x² = 60y² +57y²
52x² = 117y²
x² / y² = 117 / 52
( x/ y )² = ( 13 × 9 ) / ( 13 × 4 )
= 9 / 4
( x / y )² = ( 3 / 2 )²
Therefore ,
x / y = 3 / 2
x : y = 3 : 2
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