tf x-y=5and xy = 66 find the value of x and y.

1.	tf x-y=5and xy = 66 find the value of x and y.
Answer» Given,x - y = 5........(1)xy = 66x = 66/y........(2) Put value of x from eq(2) in eq(1)66/y - y = 566 - y^2 = 5yy^2 + 5y - 66 = 0y^2 + 11y - 6y - 66 = 0y(y + 11) - 6(y + 11) = 0y = - 11, 6 For y = - 11x - (-11) = 5x = 5 - 11 = - 6 For y = 6x - 6 = 5x = 11 Therefore, possible values of x and y are (-6, - 11) and (11, 6)

Answer»

Given,x - y = 5........(1)xy = 66x = 66/y........(2)

Put value of x from eq(2) in eq(1)66/y - y = 566 - y^2 = 5yy^2 + 5y - 66 = 0y^2 + 11y - 6y - 66 = 0y(y + 11) - 6(y + 11) = 0y = - 11, 6

For y = - 11x - (-11) = 5x = 5 - 11 = - 6

For y = 6x - 6 = 5x = 11

Therefore, possible values of x and y are (-6, - 11) and (11, 6)

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