If 3x + 5y=11 and xy=2, find the value of 9x2 +25y2
Answers
Answered by
87
given:
3x + 5y=11
xy=2
as a^2 + b^2 could be written as (a+b)^2 - 2ab
In the same manner,
9x^2 + 25y^2 could be written as
(3x+5y)^2 - 2(3x)(5y)
(3x + 5y)^2 - 30xy
now, substitute the given values.,
(11)^2 - 30 (2)
= 121 - 60
= 61.
so here,
9x^2 + 25y^2 = 61
3x + 5y=11
xy=2
as a^2 + b^2 could be written as (a+b)^2 - 2ab
In the same manner,
9x^2 + 25y^2 could be written as
(3x+5y)^2 - 2(3x)(5y)
(3x + 5y)^2 - 30xy
now, substitute the given values.,
(11)^2 - 30 (2)
= 121 - 60
= 61.
so here,
9x^2 + 25y^2 = 61
Answered by
1
Answer:
answer is 61 I hope it help you
Attachments:
Similar questions