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Question Number 158097 by zainaltanjung last updated on 31/Oct/21

	Answered by Rasheed.Sindhi last updated on 31/Oct/21

	$x^{2} + p x + 12 : R o o t s α, 4$ $product o f r o o t s : 4 α = 12 \Rightarrow α = 3 (o t h e r r o o t)$ $s u m o f r o o t s : 4 + 3 = - p \Rightarrow p = - 7$ $x^{2} + p x + q = 0 \Rightarrow x^{2} - 7 x + q = 0$ $R o o t s : β & β$ $s u m o f r o o t s : 2 β = - 7 \Rightarrow β = - \frac{7}{2}$ $p r o d u c t o f r o o t s : β^{2} = q \Rightarrow q = {(- \frac{7}{2})}^{2}$ $= \frac{49}{4}$
	Answered by Rasheed.Sindhi last updated on 31/Oct/21

	$5 x^{2} + 13 x + k = 0$ $R o o t s : α, \frac{1}{α}$ $p r o d u c t o f r o o t s : α \times \frac{1}{α} = k \Rightarrow k = 1$
	Commented by otchereabdullai@gmail.com last updated on 31/Oct/21

	$nice one!$
	Commented by Rasheed.Sindhi last updated on 31/Oct/21

	$T h a n X a b d u l l a i!$
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