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Question Number 8683 by 314159 last updated on 21/Oct/16 Commented by prakash jain last updated on 21/Oct/16 $${x}^{\mathrm{4}} −\mathrm{4}{cx}^{\mathrm{2}} +\mathrm{6}{x}^{\mathrm{2}} +{x}+\mathrm{1}=\left({x}−{p}\right)^{\mathrm{2}} \left({x}−{a}\right)\left({x}−{b}\right) \\ $$$$={x}^{\mathrm{4}} −\left(\mathrm{2}{p}+{a}+{b}\right){x}^{\mathrm{3}}…

Question Number 139744 by mathocean1 last updated on 30/Apr/21 $${log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} ×\mathrm{2}^{\mathrm{4}} \right)=? \\ $$ Commented by mohammad17 last updated on 01/May/21 $$={log}_{\mathrm{2}} \left(\mathrm{5}^{\mathrm{2}} \right)+{log}_{\mathrm{2}}…

Question Number 139741 by mathocean1 last updated on 30/Apr/21 $${A}\:{man}\:{invite}\:\mathrm{5}\:{friends}\:{choosen} \\ $$$${from}\:\mathrm{10}\:{for}\:{a}\:{diner}.\:{He}\:{don}'{t}\: \\ $$$${want}\:{that}\:{two}\:{of}\:{them}\:{took}\:{part} \\ $$$${to}\:{that}\:{diner}.\:{The}\:{number}\:{of} \\ $$$${ways}\:{to}\:{choose}\:{her}\:{friends}\:{is}: \\ $$$$\left.{a}\right)\mathrm{296} \\ $$$$\left.{b}\right)\mathrm{196} \\ $$$$\left.{c}\right)\mathrm{5} \\…

Question Number 139740 by mathocean1 last updated on 30/Apr/21 $${A}\:{rectangular}\:{blade}\:{ABCD}\:{is}\:{hanged}\:{up} \\ $$$${on}\:{A}.\:{If}\:{AB}=\mathrm{2}\:{m};\:{AD}=\mathrm{3}{m}\:,\:{the} \\ $$$${angle}\:{between}\:\left({AD}\right)\:{and}\:{the}\: \\ $$$${verticale}\:{when}\:{the}\:{system}\:{is}\: \\ $$$${equilibred}\:{is}: \\ $$$$\left.{a}\right)\mathrm{56}.\mathrm{3}\:° \\ $$$$\left.{b}\right){Arcsin}\frac{\mathrm{2}}{\mathrm{3}} \\ $$$$\left.{c}\right)\mathrm{41}.\mathrm{8}° \\…

Question Number 74191 by Mr. K last updated on 20/Nov/19 $$\:\:\:\:\mathrm{9}{Y}\mathrm{4} \\ $$$$+\mathrm{75}{X} \\ $$$$\:\:\:\:{Z}\mathrm{86} \\ $$$$−−−− \\ $$$${W}\mathrm{387} \\ $$$${find}\:{X}+{Y}+{Z}+{W}. \\ $$ Answered by…