The-roots-of-the-equation-2x-2-px-p-0-are-2-and-2-Calculate-the-value-of-p-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 158869 by Rasheed.Sindhi last updated on 09/Nov/21

The roots of the equation 2x^2 +px+p=0 are 2α+β and α+2β. Calculate the value of p

$$\:{The}\:{roots}\:{of}\:{the}\:{equation} \\ $$$$\:\mathrm{2}{x}^{\mathrm{2}} +{px}+{p}=\mathrm{0}\:{are}\:\mathrm{2}\alpha+\beta\:{and} \\ $$$$\:\alpha+\mathrm{2}\beta.\:{Calculate}\:{the}\:{value}\:{of}\:{p} \\ $$

Commented by mr W last updated on 09/Nov/21

three unknowns: p,α,β but only two equations!

$${three}\:{unknowns}:\:{p},\alpha,\beta \\ $$$${but}\:{only}\:{two}\:{equations}! \\ $$

Commented by Rasheed.Sindhi last updated on 10/Nov/21

$${Yes}\:\mathcal{S}{ir},\:{than}\mathcal{X}\:! \\ $$

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