Q6 of 227 Page 114

If α, β are roots of x2 – 3x + 2 = 0, form a quadratic equation whose roots are –α and –β

x2 – 3x + 2 = 0 compare this with ax2 – bx + c = 0


∴ a = 1 , b = –3 and c = 2








Here α = –αand β = – β


General form of quadratic equation whose roots are α2 and β2


⇒ x2 – (–α – β) x + (–α) (–β) = 0


⇒ x2 + (α + β) x + (αβ) = 0


⇒ x2 + (3)x + (2) = 0


Therefore, the required quadratic equation is x2 – 3x + 2 = 0


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