Question Number 164315 by ajfour last updated on 16/Jan/22
Commented by ajfour last updated on 16/Jan/22
$${If}\:{the}\:{blue}\:{area}\:{is}\:\:\:{c}\:\:\:{units},\:{find}\:{p}. \\ $$
Commented by cortano1 last updated on 16/Jan/22
$$\:\left(\mathrm{1}\right)\:{c}\:=\:\frac{\mathrm{1}}{\mathrm{2}}×\left({p}^{\mathrm{2}} −\mathrm{2}\right)\left(\mathrm{2}\sqrt{{p}^{\mathrm{2}} −\mathrm{1}}\right) \\ $$$$\:\:{c}\:=\:\left({p}^{\mathrm{2}} −\mathrm{1}−\mathrm{1}\right)\sqrt{{p}^{\mathrm{2}} −\mathrm{1}}\:;\:\sqrt{{p}^{\mathrm{2}} −\mathrm{1}}\:=\:{y} \\ $$$$\:\:{c}=\left({y}^{\mathrm{2}} −\mathrm{1}\right){y}\: \\ $$$$\:\:{c}=\:{y}^{\mathrm{3}} −{y}\: \\ $$$$\:\:{y}^{\mathrm{3}} −{y}−{c}\:=\:\mathrm{0}\: \\ $$$$\:\: \\ $$$$\: \\ $$
Commented by ajfour last updated on 16/Jan/22
$${Thanks}\:{sir}. \\ $$