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If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq.differentiating that and putting it=0 to get the maximum value we get y^2=16/3.(13)^1/2x^2= 12/(13)^1/2hence. x^2 + y^2=52/3.(13)^1/2 =4.(root 13)/3
answer sheet
The number of integral pairs (x,y) satisfying the equation x^2=y^2+1294 is a)2 b)3 c)4 d)None of these
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