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For the function defined as follows, find all values of x and y such that both f (x,y) = 0 and fy(x,y) = 0. f

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For the function defined as follows, find all values of x and y such that both f (x,y) = 0 and fy(x,y) = 0. f ( x,y) = 2x2 +7y2+4xy+30x-8 . . . Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There are three solutions where f (x,y) = 0 and fv(x,y) =0, in order from increasing x values, when x=| and y= |and x =|and y= and x= and y=]. (Type integers or simplified fractions.) O B. There are two solutions where fx (x,y) = 0 and fv(x,y) =0, in order from increasing x values, when x = and y = and x = and y = (Type integers or simplified fractions.) O C. There is only one solution where fy(x,y) = 0 and fv(x,y) = 0, when x = and y = (Type integers or simplified fractions.) O D. There are no solutions where fy (x,y) = 0 and fy(x,y) = 0

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