if
10x2 - 6xy + y 2 - 4x + 4 =0
find the value of (x+2y) = ?
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Answer:
given that: 10x²-6xy+y²-4x+4=0
by separating 10x² into two part
- x²+9x²-6xy+y²-4x+4=0
by rearranging this
- x²-4x+4+9x²-6xy+y²=0
this equation become perfect square of two part
- (x-2)²+(3x-y)²=0
⇒x-2=0 or 3x-y=0
⇒x=2 and y=6
by putting this value into desired function
(x+2y)=2+2*6
x+2y=14 ans.
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