Question

x+y=6,xy=9,find x and y

Answer 1

x + y = 6                                           ..............(i)

    xy = 9   ⇒ y = 9/x                         ..............(ii)
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Substituting (ii) on (i)

x + 9/x = 6

  x² + 9 = 6x

⇒ x² - 6x + 9

⇒ x² - 3x - 3x + 9

⇒ x(x-3) -3(x-3)

⇒ (x-3)(x-3)

Then x = 3,3
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Hence x = 3  and y = 3
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