Square of (x + y) + square of x = 7, square of Y + xy = 6{

(x + y) ^ 2 + x ^ 2 = 6 (1) 7Y ^ 2 + xy = 6 (2) (1) - (2) 2x ^ 2 + xy-6y ^ 2 = 0 (2x-3y) (x + 2Y) = 0x = 3 / 2Y (3) x = - 2Y (4) solve the simultaneous equations of (2) and (3), (2) and (4) to get x = 3 radical 51 x = - 3 radical 51 x = 2 radical 30 / 5 x = - 2 radical 30 / 5 y = 2 radical 51 y = - 2 radical 51 y = - radical 30 / 5

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