35.Jf 3x + 5y = 11 and xy = 2 then the value of (3x - 5y) is
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Step-by-step explanation:
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
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