If α and β are roots of x2 – 3x–1 = 0, then form a quadratic equation whose roots are

x2 – 3x – 1 = 0 compare this with ax2 – bx + c = 0
∴ a = 1 , b = –3 and c = –1
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General form of quadratic equation whose roots are α2 and β2
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= 32– 2 × (–1)
=9 + 2
= 11
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⇒ x2 – 11x + 1 = 0
Therefore, the required equation is x2 + 11x + 1 = 0
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