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Find integral pairs(x,y) satisfying the equation x 2 + y 2 + xy -4y+4x +16=0

Find integral pairs(x,y) satisfying the equation x2 + y2 + xy -4y+4x +16=0

Grade:12

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
9 years ago
Hi,

Formulate a quadratic in x and find value of x by using whole square formula. (-b+-root(b^2...........)

Now u got values of x in terms of y. Look at the term inside the root. U ll find that the expression inside the root is always negetive for any value of y).

Hence we can conclude that there is no pair of x, y that will satisfy this expression.

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