Quant Question Of The Day: 95
Algebra
Find the minimum possible value of 2x² + 2xy + 5y² + 4y – x.
Find the minimum possible value of 2x² + 2xy + 5y² + 4y – x.
2x² + 2xy + 5y² + 4y – x
x² + x² + 2xy + y² +4y²+ 4y -x
(x+y)² + ( 2y +1)² + ( x -1/2)² -1 -1/4
( x + y)² + (2y+1)² + ( x -1/2)² -5/4
Minimum : -5/4
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Ans=4
x= -1 y= -1
-41/36
-5/4
-9/8
-5/4