if x and y are two positive real numbers such that x²+4x²=17 and xy=2 then find the value of (x+2y)
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Answered by
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Hey friend!!
Your question might be as follows:-
If x and y are two positive real numbers such that x²+4y²=17 and xy=2 then find the value of (x+2y)
{4y² instead of 4x²}
=============================
x²+4y² = 17
xy = 2
(x+2y)² = {x²+(2y)²+2(x)(2y)}
= (x²+4y²+4xy)
= (17+4(2))
= 17+8
= 25
(x+2y)² = 25
(x+2y) = √25
(x+2y) = 5
Hope it helps…
Your question might be as follows:-
If x and y are two positive real numbers such that x²+4y²=17 and xy=2 then find the value of (x+2y)
{4y² instead of 4x²}
=============================
x²+4y² = 17
xy = 2
(x+2y)² = {x²+(2y)²+2(x)(2y)}
= (x²+4y²+4xy)
= (17+4(2))
= 17+8
= 25
(x+2y)² = 25
(x+2y) = √25
(x+2y) = 5
Hope it helps…
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0
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