Question
If (x2 + y2) = 9 and
(xy)2 = 3, then find the value of (x4 + y4).Solution
Given, x2 + y2 = 9 Squaring both sides, we get ⇒ x4 + y4 + 2x2y2 = 81 ⇒ x4 + y4 = 81 – 6 ⇒ x4 + y4 = 75
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